Question

Find the LCM and HCF of the pair of integers 777 and 1147 and verify that LCM x HCF = Product of two numbers.

Answer 1

Given numbers are 777 and 1147

The prime factorization of 777 and 1147 gives:

777 = 3 × 7 × 37 and 1147 = 31 × 37

Therefore, the H.C.F of these two integers = 37

Now, the L.C.M of 96 and 404 = 3 × 7 × 31 × 37 = 24087

Now, we have to verify

L.H.S = L.C.M × H.C.F = 24087 × 37 = 891219

R.H.S = Product of two numbers = 777 × 1147 = 891219

Hence, L.H.S = R.H.S

So, the product of two numbers is equal to the product of their HCF and LCM.