Question

Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = Product of the integers:

510 and 92

Answer 1

(ii) 510 and 92

Let us first find the factors of 510 and 92

510=2 x 3 x 5 x 17 

`92 = 2^2xx23`

L.C.M of 510 and `92=2^2xx3xx5xx23xx17`

L.C.M of 510 and 92 = 23460

H.C.F of 510 and 92 = 2

We know that,

L.C.M x H.C.F = First number x Second Number

23460 x 2 = 510 x 92 

46920 = 46920

Hence verified