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

Question

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

Philoid · Accepted Answer

The numbers can be expressed as follows:

6 = 2 × 3

72 = 2 × 2 × 2 × 3 × 3

120 = 2 × 2 × 2 × 3 × 5

So for finding the HCF we may write as follows:

So HCF = 2 × 3

= 6

For finding the LCM we may write as follows:

So LCM = 2³ × 3² × 5

= 360