Q. 9 A4.4( 16 Votes )

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

6, 72 and 120

Answer :

Given numbers are 6, 72 and 120

Factorization of 6, 72 and 120

Here, 2^{1} × 3^{1} are the smallest powers of the common factors 2 and 3, respectively.

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

2^{3} × 3^{2} × 5^{1} are the greatest powers of the prime factors 2, 3 and 5 respectively involved in the given three numbers .

**LCM** of these three integers = 2 × 2 × 2 × 3 × 3 × 5 = **360**

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