Q9 of 104 Page 1

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

8, 9, and 25

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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