Question

find the HCF of 96 and 404 by prime factorization method hence find their LCM​

Answer 1

Hey mate your answer is
$96 = 2 {}^{5} \times 3 \\ 404 = 2 {}^{2} \times 101 \\ hcf(96 \: 404) = 4 \\ lcm(96\: 404) = 96 \times 404 \div 4 \\ = 38764 \div 4 \\ = 9696$
It may be help you

Answer 2

HCF of 96 and 404 by prime factorisation method:-

Since, 96 = 2 × 2 × 2 × 2 × 2 × 3

and, 404 = 2 × 2 × 101

So, HCF of 96 and 404 = Product of common prime factors

                                  = 2 × 2 = 4

LCM = 2 × 2 × 2 × 2 × 2 × 101 × 3

        = 9696

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