Question

find the lcm and hcf of the following pairs of integers and verify the lcm and hcf = product of the numbers 510 and 92

Answer 1

here's your answer

hope it helps you

Answer 2

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Hey mate !!

Here's your answer !!

HCF ( 510,92 ) can be found using Euclid's division algorithm.

510 = 92 × 5 + 50

92 = 50 × 1 + 42

50 = 42 × 1 + 8

42 = 8 × 5 + 2

8 = 2 × 4 +0

Hence 2 is the HCF of 510 and 92.

LCM ( 510,92 ) = Product of high powers between the two numbers.

510 = 2 × 3 × 5 × 17

92 = 2 × 2 × 23 =  2² × 23

So LCM = 2² × 3 × 5 × 17 × 23 =  23460

Verification:

HCF × LCM = Product of 2 numbers

= 2 × 23460 = 510 × 92

= 46920 = 46920

=> LHS = RHS

Hence verified.

Hope this helps !!

Cheers !!
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# Kalpesh :)