Least common multiple of two (or more) numbers is the smallest number that is a multiple (product of the number with any other number) of both the numbers. For example 6 is the smallest multiple of both 2 and 3. Therefore, LCM of 2 and 3 is 6.<\/p>\n
Let\u2019s try to find least common multiple of 3 and 4.<\/p>\n
Multiples of 3:<\/p>\n
3, 6, 9, 12<\/strong>, 15, 18, 21, 24<\/strong>, 27, 30<\/p>\n Multiples of 4:<\/p>\n 4, 8, 12<\/strong>, 16, 20, 24<\/strong>, 28, 32, 36, 40<\/p>\n As we can see 12 and 24 both are the multiples of 3 and 4 but 12 is the smallest common multiple. So, least common multiple of 3 and 4 is 12.<\/p>\n Another method of finding LCM is by using the prime factors (numbers which are multiplied) of the numbers of which LCM is to be determined. \u00a0Follow the following steps:<\/p>\n –\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Factor each number into its prime factors.<\/p>\n –\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Count the number of times each prime factor appears for each number<\/p>\n –\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Take the largest of these counts<\/p>\n –\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Write down the prime factor as many times as counted in above step<\/p>\n –\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Multiply all the prime factors to get the LCM of the given numbers<\/p>\n Example:<\/p>\n 12 = 2 \u00d7 2 \u00d7 3<\/p>\n 16 = 2 \u00d7 2 \u00d7 2 \u00d7 2<\/p>\n LCM of 12 and 16 = 2 \u00d7 2 \u00d7 2 \u00d7 3 = 48<\/p>\n Factor and Multiple<\/strong><\/p>\n We often confused between factor and multiple of a number. Let’s take a look below.<\/p>\n Factors are the numbers into which the larger number can be divided. In other words, factors are the numbers which are multiplied to get the larger number. For example, 2 and 3 are the factors of 6 as we get 6 when 2 and 3 are multiplied.<\/p>\n Multiples are the numbers which we get after multiplying the number by another number.<\/p>\n 3 \u00d7 2 = 6<\/p>\n 3 \u00d7 3 = 9<\/p>\n 3 \u00d7 4 = 12<\/p>\n So, 6, 9 and 12 are the multiples of 12.<\/p>\n","protected":false},"excerpt":{"rendered":" Least common multiple of two (or more) numbers is the smallest number that is a multiple (product of the number with any other number) of both the numbers. For example 6 is the smallest multiple of both 2 and 3. Therefore, LCM of 2 and 3 is 6. Let\u2019s try to find least common multiple […]<\/p>\n","protected":false},"author":19,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[11],"tags":[1016,1023],"class_list":["post-385","post","type-post","status-publish","format-standard","hentry","category-math-fundamentals","tag-lcm","tag-leastcommonmultiple"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/385","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/comments?post=385"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/385\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/media?parent=385"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/categories?post=385"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/tags?post=385"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}