{"id":38768,"date":"2025-06-26T12:41:59","date_gmt":"2025-06-26T12:41:59","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=38768"},"modified":"2025-06-26T12:42:01","modified_gmt":"2025-06-26T12:42:01","slug":"l-c-m-of-7-10-and-2-solve-it-and-give-me-fast","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/l-c-m-of-7-10-and-2-solve-it-and-give-me-fast\/","title":{"rendered":"L.C.M of 7 ,10 and 2 solve it and give me fast"},"content":{"rendered":"\n<p>L.C.M of 7 ,10 and 2 solve it and give me fast<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong> 70<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<p>The Least Common Multiple (LCM) of a group of numbers is the smallest number that all the given numbers divide without leaving a remainder.<\/p>\n\n\n\n<p>To find the LCM of <strong>7<\/strong>, <strong>10<\/strong>, and <strong>2<\/strong>, follow these steps:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Prime Factorization<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>7 is a prime number: 7 = 7<\/li>\n\n\n\n<li>10 can be factored as: 10 = 2 \u00d7 5<\/li>\n\n\n\n<li>2 is a prime number: 2 = 2<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Identify All Prime Factors<\/h3>\n\n\n\n<p>From all the numbers, the prime factors involved are:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2 (from 2 and 10)<\/li>\n\n\n\n<li>5 (from 10)<\/li>\n\n\n\n<li>7 (from 7)<\/li>\n<\/ul>\n\n\n\n<p>Now take the <strong>highest power<\/strong> of each prime number:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Highest power of 2 is <strong>2\u00b9<\/strong><\/li>\n\n\n\n<li>Highest power of 5 is <strong>5\u00b9<\/strong><\/li>\n\n\n\n<li>Highest power of 7 is <strong>7\u00b9<\/strong><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Multiply the Highest Powers<\/h3>\n\n\n\n<p>Now multiply them together to get the LCM:<\/p>\n\n\n\n<p>2 \u00d7 5 \u00d7 7 = <strong>70<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Why This Works<\/h3>\n\n\n\n<p>The LCM must be divisible by each of the original numbers:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>70 \u00f7 7 = 10 (no remainder)<\/li>\n\n\n\n<li>70 \u00f7 10 = 7 (no remainder)<\/li>\n\n\n\n<li>70 \u00f7 2 = 35 (no remainder)<\/li>\n<\/ul>\n\n\n\n<p>Thus, 70 is the smallest number divisible by 7, 10, and 2.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Practical Use<\/h3>\n\n\n\n<p>Finding the LCM is useful in many situations, especially when adding or comparing fractions with different denominators, or solving problems involving repeated events or cycles. In programming, engineering, and real-life tasks such as scheduling or machine operations, LCM helps in finding common time intervals or shared working periods.<\/p>\n\n\n\n<p>In conclusion, the LCM of 7, 10, and 2 is <strong>70<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>L.C.M of 7 ,10 and 2 solve it and give me fast The correct answer and explanation is: Correct Answer: 70 Explanation: The Least Common Multiple (LCM) of a group of numbers is the smallest number that all the given numbers divide without leaving a remainder. To find the LCM of 7, 10, and 2, [&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-38768","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/38768","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=38768"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/38768\/revisions"}],"predecessor-version":[{"id":38769,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/38768\/revisions\/38769"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=38768"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=38768"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=38768"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}