{"id":246569,"date":"2025-07-07T09:00:21","date_gmt":"2025-07-07T09:00:21","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=246569"},"modified":"2025-07-07T09:00:25","modified_gmt":"2025-07-07T09:00:25","slug":"common-multiple-of-numbers-7-and-17-within-5-multiples-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/07\/common-multiple-of-numbers-7-and-17-within-5-multiples-2\/","title":{"rendered":"Common multiple of numbers 7 and 17 within 5 multiples"},"content":{"rendered":"\n
Common multiple of numbers 7 and 17 within 5 multiples (1) 14, 42 (2) 14, 30 (3) 14, 28<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n
The common multiples of two numbers are those numbers that are divisible by both. To find the common multiples of 7 and 17, we first need to find their least common multiple (LCM).<\/p>\n\n\n\n
Step 1: Find the LCM of 7 and 17<\/h3>\n\n\n\n
\n
Since 7 and 17 are both prime numbers, the LCM of 7 and 17 is simply their product: LCM(7,17)=7\u00d717=119\\text{LCM}(7, 17) = 7 \\times 17 = 119LCM(7,17)=7\u00d717=119.<\/li>\n<\/ul>\n\n\n\n
Step 2: Find the first few common multiples<\/h3>\n\n\n\n
The common multiples of 7 and 17 will be multiples of their LCM, so the multiples of 119 are:<\/p>\n\n\n\n
Step 3: Analyze the options provided<\/h3>\n\n\n\n
Now, let\u2019s check the options:<\/p>\n\n\n\n
\n
14, 42<\/strong>: These are multiples of 7 (since 7\u00d72=147 \\times 2 = 147\u00d72=14, and 7\u00d76=427 \\times 6 = 427\u00d76=42), but they are not<\/strong> multiples of 17.<\/li>\n\n\n\n
14, 30<\/strong>: These are also multiples of 7 (14 is 7\u00d727 \\times 27\u00d72, and 30 is not a multiple of 7), but neither of these is a multiple of 17.<\/li>\n\n\n\n
14, 28<\/strong>: These are multiples of 7, but they are not<\/strong> multiples of 17 either.<\/li>\n<\/ol>\n\n\n\n
Step 4: Conclusion<\/h3>\n\n\n\n
None of the options provided (14, 42), (14, 30), or (14, 28) are common multiples of 7 and 17. The correct common multiples are based on multiples of the least common multiple of 7 and 17, which is 119. Therefore, there is no correct answer among the given options.<\/p>\n\n\n\n<\/figure>\n","protected":false},"excerpt":{"rendered":"
Common multiple of numbers 7 and 17 within 5 multiples (1) 14, 42 (2) 14, 30 (3) 14, 28 The Correct Answer and Explanation is: The common multiples of two numbers are those numbers that are divisible by both. To find the common multiples of 7 and 17, we first need to find their least […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-246569","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/246569","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=246569"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/246569\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=246569"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=246569"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=246569"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
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