Q. 9 E5.0( 3 Votes )

# Find LCM and HCF of the following integers by using prime factorization method:42, 63 and 140

Given numbers are 42, 63 and 140

Factorization of 42, 63 and 140

Here, 71 is the smallest power of the common factor 7.

So, HCF (42, 63, 140) = 7

22 × 32 × 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 × 3 × 5 × 7 = 1260

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