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The ratio of two numbers is 7 : 13 and their HCF is 8. Their LCM is:1. 7282. 8723. 6284. 782 |
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Answer» Correct Answer - Option 1 : 728 Given: Ratio of two numbers = 7 : 13 HCF = 8 Concept used: (i) If a and b are two numbers, then a × b = HCF × LCM (ii) HCF of two numbers is the highest common factor of both of them. Calculations: Let the numbers be 7x and 13x. Then, H.C.F. = x As we have given, x = 8 First number is, ⇒ 7x ⇒ 7 × 8 = 56 Second number is, ⇒ 13x ⇒ 13 × 8 = 104 a × b = HCF × LCM ⇒ 56 × 104 = 8 × LCM ⇒ LCM = 728 ∴ The LCM is 728. |
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