{"id":24734,"date":"2025-06-18T17:43:32","date_gmt":"2025-06-18T17:43:32","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=24734"},"modified":"2025-06-18T17:43:35","modified_gmt":"2025-06-18T17:43:35","slug":"find-the-lowest-common-multiple-lcm-of-3-4-and-6","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/find-the-lowest-common-multiple-lcm-of-3-4-and-6\/","title":{"rendered":"Find the lowest common multiple (LCM) of 3, 4 and 6."},"content":{"rendered":"\n<p>Find the lowest common multiple (LCM) of 3, 4 and 6.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-light-green-cyan-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 Correct Answer:<\/h3>\n\n\n\n<p>The <strong>lowest common multiple (LCM)<\/strong> of 3, 4, and 6 is <strong>12<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83e\udde0 Step-by-Step Explanation:<\/h3>\n\n\n\n<p>To find the <strong>lowest common multiple (LCM)<\/strong> of three numbers \u2014 3, 4, and 6 \u2014 you are looking for the smallest positive number that <strong>all three<\/strong> numbers can divide into <strong>evenly<\/strong>, without leaving a remainder.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udd22 Method 1: Listing Multiples<\/h3>\n\n\n\n<p><strong>Step 1: List a few multiples of each number<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiples of 3: 3, 6, 9, <strong>12<\/strong>, 15, 18, 21<\/li>\n\n\n\n<li>Multiples of 4: 4, 8, <strong>12<\/strong>, 16, 20<\/li>\n\n\n\n<li>Multiples of 6: 6, <strong>12<\/strong>, 18, 24<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 2: Identify the smallest common number in all three lists<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The first number that appears in <strong>all three<\/strong> lists is <strong>12<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p>So, the <strong>LCM<\/strong> of 3, 4, and 6 is <strong>12<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udd0d Method 2: Prime Factorization<\/h3>\n\n\n\n<p><strong>Step 1: Find prime factors<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>3 = 3<\/li>\n\n\n\n<li>4 = 2 \u00d7 2 = 2\u00b2<\/li>\n\n\n\n<li>6 = 2 \u00d7 3<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 2: Take the highest power of each prime factor<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Prime factors: 2\u00b2 and 3<\/li>\n\n\n\n<li>LCM = 2\u00b2 \u00d7 3 = 4 \u00d7 3 = <strong>12<\/strong><\/li>\n<\/ul>\n\n\n\n<p>This confirms the result.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udcd8 Why LCM Is Useful<\/h3>\n\n\n\n<p>The LCM is useful in many real-life scenarios such as scheduling, repeating events, or finding common denominators in fractions. For example, if three machines turn on every 3, 4, and 6 minutes respectively, they will all turn on at the same time every <strong>12 minutes<\/strong>. This is because 12 is the earliest time they all align.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 Conclusion<\/h3>\n\n\n\n<p>The <strong>LCM<\/strong> of 3, 4, and 6 is <strong>12<\/strong>. It is the smallest number that is divisible by all three numbers. You can find it using listing or prime factorization. Both lead to the same result.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-13.jpeg\" alt=\"\" class=\"wp-image-24743\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-13.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-13-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-13-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Find the lowest common multiple (LCM) of 3, 4 and 6. The Correct Answer and Explanation is: \u2705 Correct Answer: The lowest common multiple (LCM) of 3, 4, and 6 is 12. \ud83e\udde0 Step-by-Step Explanation: To find the lowest common multiple (LCM) of three numbers \u2014 3, 4, and 6 \u2014 you are looking for [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-24734","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24734","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=24734"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24734\/revisions"}],"predecessor-version":[{"id":24744,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24734\/revisions\/24744"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=24734"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=24734"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=24734"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}