Math, asked by yashgehlot4581, 1 year ago

Find LCF and HCF of 6,72 and120 by factorization method

Answers

Answered by dinesh2028
2
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

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