Question

Find the HCF of 96 and 404 by the prime factorisation method. Hence, find their LCM.

Answer 1

Answer:

The prime factorisation of 96 and 404 gives:

96 = 25 × 3

404 = 22 × 101

Therefore, the HCF of these two integers is 22 = 4.

LCM (96, 404) = (96 × 404)/HCF  

= (96 × 404)/4 = 9696

Answer 2

Answer:

HCF of 96 and 404 by prime factorisation method:-

Since, 96 = 2 × 2 × 2 × 2 × 2 × 3

and, 404 = 2 × 2 × 101

So, HCF of 96 and 404 = Product of common prime factors

                                  = 2 × 2 = 4

LCM = 2 × 2 × 2 × 2 × 2 × 101 × 3

        = 9698