Math, asked by naman4515, 1 year ago

Find the LCM of 6,72,120 using prime factorization method.......

Answers

Answered by Justinlover2004
5
Prime factorisation of numbers:

6 = 2 × 3

72 = 23 × 32

120 = 23 × 3 × 5

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

So, HCF (6, 72, 120) = 21 × 31 = 2 × 3 = 6

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

So, LCM (6, 72, 120) = 23 × 32 × 51 = 360
Similar questions