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Question

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Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. (ii) 510 and 92

Solution

(ii)
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So, 510 = 2 × 3 × 5 × 17

and 92 = 2 × 2 × 23

∴ H.C.F. (510, 92) = 2

and L.C.M. (510, 92) = 2 × 2 × 3 × 5 × 17 × 23

= 23460

Verification :

L.C.M. × H.C.F. = 23460 × 2 = 46920

Product of the two nos. = 510 × 92 = 46920

L.C.M. × H.C.F. = Product of the two nos.

Verified.

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