Question

If HCF (96, 404) = 4 , then find LCM (96, 404)

Answer 1

Answer:

Represent 96 and 404 as a product of its prime factors.

Prime factorization of 96 is 2 × 2 × 2 × 2 × 2 × 3

Prime factorization of 404 is 2 × 2 × 101

HCF is the product of the factors that are common to each of the given numbers.

Since, the common factors are 2 and 2, the HCF of 96 and 404 is 4

We will use the formula to calculate the LCM (a, b):

LCM (a, b) = (a × b) / HCF (a, b)

HCF (a, b) is the highest common factor of a and b.

Using the formula,

LCM (96, 404) = (96 × 404) / HCF (96, 404)

By substituting the values,

= (96 × 404) / 4

= 96 × 101

= 9696

Therefore, the HCF of 96 and 404 is 4, and the LCM of 96 and 404 is 9696