{"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
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

There is more than one method to find the LCM of two or more numbers.
\n1. Listing Method
\n2. Division\/Prime Factorization Method[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]To find the LCM using listing method:<\/a><\/strong>
\n1. List the multiples of the numbers that you have to find the LCM of.
\n2. Find the first common product that appears in both lists.<\/p>\n

To find the LCM using division\/prime factorization method<\/a>:<\/strong>
\n1. Find the least prime that one or more of the numbers are divisible by.
\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.)
\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]Find the LCM of 18 and 20.
\n<\/strong><\/span>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]Method 1 (Listing Method)<\/strong>
\nMultiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180<\/span>, 198,….
\nMultiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180<\/span>, 200,…
\nLCM of 18 and 20 is 180<\/span>.<\/p>\n

Method 2 (Division\/Prime Factorization)
\n\"\"<\/a>
\n<\/strong>The LCM = 2 \u00d7 2 \u00d7 3 \u00d7 3 \u00d7 5 = 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

Practice Problem 1<\/h5>\n

Find the LCM of 3 and 12<\/strong><\/span>
\nFill in the missing numbers.
\n\"<\/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

Practice Problem 2<\/h5>\n

What is the least common multiple of 7, 14 and 21?<\/strong><\/span>
\n\"<\/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

Practice Problem 3<\/h5>\n

Find the LCM of 21 and 60.<\/strong><\/span>
\nUse division method.
\n\"<\/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

Practice Problem 4<\/h5>\n

Find the LCM of 20, 32 and 40.<\/strong><\/span>
\n\"<\/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 least common multiple (LCM)<\/strong> of two numbers is the smallest number that they both divide evenly into.<\/p>\n

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;}”]Pre-requisite Skills<\/strong><\/span>
\nIdentify Factors<\/span><\/a>
\nIdentify Multiples<\/span><\/a>
\nGreatest Common Factor<\/span><\/a>
\nPrime and Composite Numbers<\/span><\/a>
\nPrime 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;}”]Related Skills<\/strong><\/span>
\nGreatest Common Factor-GCF<\/a><\/span>
\nEquivalent Fractions<\/a><\/span>
\nSimplifying fractions<\/a>
\n<\/span>Compare Fractions with Unlike Denominators<\/a>
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[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":"\nLeast 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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