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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

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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