Find LCM and HCF of the following integers by using prime factorization method:

42, 63 and 140

Given numbers are 42, 63 and 140

Factorization of 42, 63 and 140

Here, 7¹ is the smallest power of the common factor 7.

So, HCF (42, 63, 140) = 7

2² × 3² × 5¹ × 7¹ are the greatest powers of the prime factors 2, 3, 5 and 7 respectively involved in the given three numbers .

LCM of these three integers = 2 × 2 × 3 × 3 × 5 × 7 = 1260