Question

Find LCM and HCF of the integers 6, 72 and 120 by using prime factorization method.

Answer 1

Given numbers are 6, 72 and 120

Factorization of 6, 72 and 120

Here, 2¹ × 3¹ are the smallest powers of the common factors 2 and 3, respectively.

So, HCF (6, 72, 120) = 2 × 3 = 6

2³ × 3² × 5¹ are the greatest powers of the prime factors 2, 3 and 5 respectively involved in the given three numbers .

LCM of these three integers = 2 × 2 × 2 × 3 × 3 × 5 = 360