Question

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

84, 90 and 120

Answer 1

First, find the prime factors of the given integers: 84, 90 and 120 

For, 84 = 2 × 2 × 3 × 7 

90 = 2 × 3 × 3 × 5 

120 = 2 × 2 × 2 × 3 × 5 

Now, L.C.M of 84, 90 and 120 = 2³ × 3² × 5 × 7 

∴ L.C.M (84, 90, 120) = 2520 

And, H.C.F (84, 90 and 120) = 6