Q. 9 C4.6( 5 Votes )

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

12, 15, and 21

Answer :

Given numbers are 12, 15 and 21


Factorization of 12, 15 and 21




Here, 31 is the smallest power of the common factor 3.


So, HCF (12, 15, 21) = 3


22 × 31 × 51 × 71 are the greatest powers of the prime factors 2, 3, 5 and 7 respectively involved in the given three numbers .


LCM of these three integers = 2 × 2 × 3 × 5 × 7 = 420


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