Question

Using prime factorization method ,find the hcf and lcm of 72,126and168 .also show that hcf ×lcm product of three number

Answer 1

Hiii friend,

Prime factorisation of 72 = 2 × 2 × 2 × 3 × 3

Prime factorisation of 126 = 2 × 3 × 3 × 7

And,

Prime factorisation of 168 = 2 × 2 × 2 × 3 × 7

HCF of 72 , 126 and 168 = 2 × 3 = 6

And,

LCM of 72 , 126 and 168= 2 × 2 × 2 × 3 × 3 × 7 = 504 .

Now,

HCF × LCM = 6 × 504 = 3024

and,

Product of three numbers = 72 × 126 × 168 = 1524096 .

Therefore,

Product of three numbers not = HCF × LCM.

SO ,

THE GIVEN STATEMENT IN QUESTION IS WRONG...




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