Question

Find the HCF of 96 and 404 by prime factorization method. Hence find their LCM with the help of HCF.

Answer 1

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Answer 2

To Find :

The Highest Common Factor of 96 and 404 by Prime Factorization Method and then their Least Common Multiple.

We know ,

96 = 2² × 3

404 = 2² × 101

So the required Highest Common Factor is 4 .

Then ,

We know very well that

LCM × HCF = 96 × 404

LCM= (96×404)÷4

LCM = 9696

The required HCF is 4 while the required LCM is 9696.