Q. 9 B5.0( 1 Vote )

Find LCM and HCF of the following integers by using prime factorization method:8, 9, and 25

Answer :

Given numbers are 8, 9 and 25

Factorization of 8, 9 and 25

8 = 2 × 2 × 2 × 1 = 23 × 1

9 = 3 × 3 × 1 = 32 × 1

25 = 5 × 5 × 1 = 52 × 1

Here, 11 is the smallest power of the common factor 1.

So, HCF (8, 9, 25) = 1

23 × 32 × 52 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 × 5 = 1800

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