Question

Find LCM and HCF of the integers 48, 72 and 108 by using prime factorization method.

Answer 1

Given numbers are 48, 72 and 108

Factorization of 48, 72 and 108

Here, 2² × 3¹ are the smallest powers of the common factors 2 and 3 respectively.

So, HCF (48, 72, 108) = 2 × 2 × 3 = 12

2⁴ × 3³ are the greatest powers of the prime factors 2 and 3 respectively involved in the given three numbers .

LCM of these three integers = 2 × 2 × 2 × 2 × 3 × 3 × 3 = 432