{"id":3841,"date":"2022-02-04T17:59:57","date_gmt":"2022-02-04T17:59:57","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=3841"},"modified":"2022-03-02T17:01:04","modified_gmt":"2022-03-02T17:01:04","slug":"least-common-multiple-word-problems","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/least-common-multiple-word-problems\/","title":{"rendered":"Least Common Multiple Word Problems"},"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 Word Problems<\/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>An airline stewardess flies to Paris every 10 days for one day. Another stewardess flies to Paris every 15 days for one day. Today, both are in Paris. After how many days will both stewardesses be in Paris again on the same day?<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 10: 10, 20, <span style=\"color: red;\">30<\/span>, 40, 50, 60, 70, 80, 90, 100,…<br \/>\nMultiples of 15: 15, <span style=\"color: red;\">30<\/span>, 45, 60, 75, 90, 105,…<br \/>\nLCM of 10 and 15 is <span style=\"color: red;\">30<\/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-3906 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/15-1.png\" alt=\"\" width=\"266\" height=\"225\" \/><\/a><br \/>\n<\/strong>The LCM = 2 \u00d7 3 \u00d7 5 = <span style=\"color: red;\">30<\/span><br \/>\n<span style=\"color: red;\"><strong>After 30 days both stewardesses will be in Paris again on the same day.<\/strong><\/span>[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Least Common Multiple Word Problems[\/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>A salesman goes to New York every 15 days for one day and another every 24 days, also for one day. Today, both are in New York. After how many days both salesmen will be again in New York on the same day?<\/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-3845 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/2-33.png\" alt=\" Least Common Multiple Word Problems Example - Practice Problem 1\" width=\"127\" height=\"43\" \/><\/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 height=”30px”][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>Today, both the soccer team and the basketball team had games. The soccer team plays every three days, and the basketball team plays every five days. When will both teams have games on the same day again?<\/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-3847 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/3-25.png\" alt=\" Least Common Multiple Word Problems Example - Practice Problem 2\" width=\"202\" 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 height=”30px”][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>Sam can save 9 dollars every day while Maria can save 12 dollars. What is the least number of days it will take each person to save the same amount of money?<\/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-3849 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/4-17.png\" alt=\" Least Common Multiple Word Problems Example - Practice Problem 3\" width=\"263\" 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\/6th-grade\/least-common-multiple-lcm-“][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][\/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_1635154370342{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><\/span><br \/>\n<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 Word Problems [\/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 […]<\/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 Word Problems | 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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