Q. 9 F

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

48, 72 and 108

Answer :

Given numbers are 48, 72 and 108


Factorization of 48, 72 and 108




Here, 22 × 31 are the smallest powers of the common factors 2 and 3 respectively.


So, HCF (48, 72, 108) = 2 × 2 × 3 = 12


24 × 33 are the greatest powers of the prime factors 2 and 3 respectively involved in the given three numbers .


LCM of these three integers = 2 × 2 × 2 × 2 × 3 × 3 × 3 = 432


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