{"id":246539,"date":"2025-07-07T08:39:41","date_gmt":"2025-07-07T08:39:41","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=246539"},"modified":"2025-07-07T08:39:42","modified_gmt":"2025-07-07T08:39:42","slug":"common-multiple-of-numbers-7-and-17-within-5-multiples","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/07\/common-multiple-of-numbers-7-and-17-within-5-multiples\/","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

To determine the common multiples of the numbers 7 and 17 within the first 5 multiples, we need to first list the first few multiples of each number.<\/p>\n\n\n\n

Multiples of 7:<\/h3>\n\n\n\n

The multiples of 7 are 7, 14, 21, 28, 35, and so on.<\/p>\n\n\n\n

Multiples of 17:<\/h3>\n\n\n\n

The multiples of 17 are 17, 34, 51, 68, 85, and so on.<\/p>\n\n\n\n

Now, let’s identify the common multiples:<\/p>\n\n\n\n

    \n
  • The first common multiple of 7 and 17 is 119 (since 119 = 7 \u00d7 17).<\/li>\n<\/ul>\n\n\n\n

    Within the first 5 multiples:<\/h3>\n\n\n\n
      \n
    • The multiples of 7 are 7, 14, 21, 28, and 35.<\/li>\n\n\n\n
    • The multiples of 17 are 17, 34, 51, 68, and 85.<\/li>\n<\/ul>\n\n\n\n

      We can see that there are no common multiples<\/strong> within the first 5 multiples of 7 and 17. The smallest common multiple (LCM) is 119, but it appears after the first 5 multiples.<\/p>\n\n\n\n

      Answer Breakdown:<\/h3>\n\n\n\n
        \n
      • Option 1: 14, 42 – This includes multiples of 7, but not 17.<\/li>\n\n\n\n
      • Option 2: 14, 30 – Neither of these numbers is a multiple of 17.<\/li>\n\n\n\n
      • Option 3: 14, 28 – These are multiples of 7, but not 17.<\/li>\n<\/ul>\n\n\n\n

        Therefore, none of the options are correct<\/strong> based on the question\u2019s request to find the common multiples of 7 and 17 within their first 5 multiples.<\/p>\n\n\n\n

        Conclusion:<\/h3>\n\n\n\n

        The common multiple of 7 and 17 in the first few multiples is 119, but it doesn\u2019t show up within the first 5 multiples of either number. Thus, there are no correct answers among the options provided.<\/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: To determine the common multiples of the numbers 7 and 17 within the first 5 multiples, we need to first list the first few multiples of each number. Multiples of […]<\/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-246539","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/246539","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=246539"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/246539\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=246539"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=246539"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=246539"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}