Question

find the LCM and HCF of the following pairs of integers and verify that LCM into HCF equal to product of two number 510 and 92

Answer 1

no , i think so the question is wrong

because in second step my

92=142*q+r

Answer 2

$\huge \underline \mathbb {SOLUTION:-}$

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510 and 92

Expressing 510 and 92 as product of its prime factors, we get,

510 = 2 × 3 × 17 × 5 × 1

92 = 2 × 2 × 23 × 1

Therefore, LCM(510, 92) = 2 × 2 × 3 × 5 × 17 × 23 = 23460

And HCF (510, 92) = 2

Verification:

Now, product of 510 and 92 = 510 × 92 = 46920

And Product of LCM and HCF = 23460 × 2 = 46920

Hence, LCM × HCF = product of the 510 and 92.

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