{"id":3862,"date":"2022-02-06T17:34:13","date_gmt":"2022-02-06T17:34:13","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=3862"},"modified":"2022-03-02T16:59:33","modified_gmt":"2022-03-02T16:59:33","slug":"least-common-multiple-lcm","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/least-common-multiple-lcm\/","title":{"rendered":"Least Common Multiple (LCM)"},"content":{"rendered":"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text]\n<h5>Least Common Multiple (LCM)<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]The abbreviation LCM stands for Least Common Multiple. The least common multiple of a number is the smallest number that is the product of two or more numbers. The least common multiple can be calculated for two or more integers as well as two or more fractions. The least common multiple of two numbers is the lowest possible number that can be divisible by both numbers.<\/p>\n<p>There is more than one method to find the LCM of two or more numbers.<br \/>\n1. Listing Method<br \/>\n2. Division\/Prime Factorization Method[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]<strong>To find the <a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/least-common-multiple-l-c-m\">LCM using listing method:<\/a><\/strong><br \/>\n1. List the multiples of the numbers that you have to find the LCM of.<br \/>\n2. Find the first common product that appears in both lists.<\/p>\n<p><strong>To find the <a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/least-common-multiple-lcm-\">LCM using division\/prime factorization method<\/a>:<\/strong><br \/>\n1. Find the least prime that one or more of the numbers are divisible by.<br \/>\n2. Divide the number or numbers by the primes, from the least prime to the greatest prime, until the numbers are reduced to 1. (If a number is not divisible by the prime, bring it down.)<br \/>\n3. Multiply all the primes that were used in this process. The answer is the LCM.[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<span style=\"color: #16a085;\"><strong>Find the LCM of 18 and 20.<br \/>\n<\/strong><\/span>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]<strong>Method 1 (Listing Method)<\/strong><br \/>\nMultiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, <span style=\"color: red;\">180<\/span>, 198,….<br \/>\nMultiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, <span style=\"color: red;\">180<\/span>, 200,…<br \/>\nLCM of 18 and 20 is <span style=\"color: red;\">180<\/span>.<\/p>\n<p><strong>Method 2 (Division\/Prime Factorization)<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/least-common-multiple-lcm-\"><img loading=\"lazy\" class=\"alignnone wp-image-3864 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/8.png\" alt=\"\" width=\"244\" height=\"312\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/8.png 244w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/8-235x300.png 235w\" sizes=\"(max-width: 244px) 100vw, 244px\" \/><\/a><br \/>\n<\/strong>The LCM = 2 \u00d7 2 \u00d7 3 \u00d7 3 \u00d7 5 = <span style=\"color: red;\">180<\/span>[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Least Common Multiple (LCM)[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 1<\/h5>\n<p><span style=\"color: #16a085;\"><strong>Find the LCM of 3 and 12<\/strong><\/span><br \/>\nFill in the missing numbers.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/least-common-multiple-l-c-m\"><img loading=\"lazy\" class=\"alignnone wp-image-3867 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/9.png\" alt=\" Least Common Multiple Example - Practice Problem 1\" width=\"299\" height=\"101\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/least-common-multiple-l-c-m”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 2<\/h5>\n<p><span style=\"color: #16a085;\"><strong>What is the least common multiple of 7, 14 and 21?<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/least-common-multiple-l-c-m\"><img loading=\"lazy\" class=\"alignnone wp-image-2911 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/4-9.png\" alt=\" Least Common Multiple Example - Practice Problem 2\" width=\"68\" height=\"37\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/least-common-multiple-l-c-m”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 3<\/h5>\n<p><span style=\"color: #16a085;\"><strong>Find the LCM of 21 and 60.<\/strong><\/span><br \/>\nUse division method.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/least-common-multiple-lcm-\"><img loading=\"lazy\" class=\"alignnone wp-image-3871 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10.png\" alt=\" Least Common Multiple Example - Practice Problem 3\" width=\"199\" height=\"190\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/least-common-multiple-lcm-“][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 4<\/h5>\n<p><span style=\"color: #16a085;\"><strong>Find the LCM of 20, 32 and 40.<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/least-common-multiple-lcm-\"><img loading=\"lazy\" class=\"alignnone wp-image-3873 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/11-30.png\" alt=\" Least Common Multiple Example - Practice Problem 4\" width=\"138\" height=\"38\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/least-common-multiple-lcm-“][\/vc_column_inner][\/vc_row_inner][vc_empty_space][\/vc_column][vc_column width=”1\/3″ css=”.vc_custom_1633369011398{margin-bottom: 50px !important;}”][vc_row_inner el_class=”stickynotee”][vc_column_inner][vc_single_image image=”2265″ img_size=”full” alignment=”center” css_animation=”fadeIn” css=”.vc_custom_1633509989314{border-radius: 10px !important;}” el_class=”stickypin”][vc_column_text]The <strong>least common multiple (LCM)<\/strong> of two numbers is the smallest number that they both divide evenly into.<\/p>\n<p><strong>Prime factorization<\/strong>: a number written as the product of all its prime factors.[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635148304499{border-radius: 10px !important;}”]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/identify-factors\"><span style=\"color: #ed5600;\">Identify Factors<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/identify-multiples\"><span style=\"color: #ed5600;\">Identify Multiples<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/greatest-common-factor\"><span style=\"color: #ed5600;\">Greatest Common Factor<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/prime-and-composite-numbers\"><span style=\"color: #ed5600;\">Prime and Composite Numbers<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/prime-factorization\"><span style=\"color: #ed5600;\">Prime Factorization<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635154312399{border-top-width: 7px !important;border-right-width: 7px !important;border-bottom-width: 7px !important;border-left-width: 7px !important;background-position: center !important;background-repeat: no-repeat !important;background-size: contain !important;border-left-color: #333399 !important;border-left-style: solid !important;border-right-color: #333399 !important;border-right-style: solid !important;border-top-color: #333399 !important;border-top-style: solid !important;border-bottom-color: #333399 !important;border-bottom-style: solid !important;border-radius: 10px !important;}”]<span style=\"color: #333399;\"><strong>Related Skills<\/strong><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/greatest-common-factor-gcf\">Greatest Common Factor-GCF<\/a><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/equivalent-fractions\">Equivalent Fractions<\/a><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/simplifying-fractions\">Simplifying fractions<\/a><br \/>\n<\/span><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/compare-fractions-with-unlike-denominators\">Compare Fractions with Unlike Denominators<\/a><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/add-and-subtract-fractions-with-unlike-denominators\">Add and Subtract Fractions with Unlike Denominators<\/a><\/span>[\/vc_column_text][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Grade 1″ color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F1st-grade%2Fmaths|title:Grade%201%20Math||”][vc_btn title=”Grade 2″ color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F2nd-grade%2Fmaths|title:Grade%202%20Math||”][vc_btn title=”Grade 3″ color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F3rd-grade%2Fmaths|title:Grade%203%20Math||”][vc_btn title=”Grade 4″ color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F4th-grade%2Fmaths|title:Grade%204%20Math||”][vc_btn title=”Grade 5″ color=”green” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F5th-grade%2Fmaths|title:Grade%205%20Math||”][vc_btn title=”Grade 6″ color=”info” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F6th-grade%2Fmaths|title:Grade%206%20Math||”][vc_btn title=”Grade 7″ color=”vista-blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F7th-grade%2Fmaths|title:Grade%207%20Math||”][vc_btn title=”Grade 8″ color=”mulled-wine” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F8th-grade%2Fmaths|title:Grade%208%20Math||”][\/vc_column_inner][\/vc_row_inner][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Multiplication” color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fmultiplication|title:Multiplication||”][vc_btn title=”Numbers theory” color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fnumbers-theory|title:Numbers%20theory||”][\/vc_column_inner][\/vc_row_inner][\/vc_column][\/vc_row][\/vc_section]\n","protected":false},"excerpt":{"rendered":"<p>[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] Least Common Multiple (LCM) [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]The abbreviation LCM stands for Least Common Multiple. The least common multiple of a number is the smallest number that is the product of […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.0 (Yoast SEO v17.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Least Common Multiple (LCM) | Oryx Learning<\/title>\n<meta name=\"description\" content=\"The abbreviation LCM stands for Least Common Multiple. The least common multiple of a number is the smallest number that is the product of two or more numbers. 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