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Find the HCF of 96 and 404 by Prime Factorisation and Use it to Find the LCM

Find HCF of 96 and 404 by prime factorisation and use it to find LCM. Step-by-step for CBSE Class 10 Maths Real Numbers chapter.

Answer: Let us assume that,

X= 404

Y = 96

Now ,express the term X and Y as a product of prime number:

X=404 = 2 × 2 × 101

Y=96 = 2 × 2 × 2 × 2 × 2 × 3

LCM of X and Y is 2 × 2 × 2 × 2 × 2 × 101 × 3 = 9696

HCF of X and Y is 2 × 2 = 4

Now , HCF × LCM = 4 × 9696 = 38784

Product of two given numbers X × Y = 38784

Hence, HCF × LCM is equal to the product of two given numbers.

∴ The HCF of X and Y is 4, and the LCM of X and Y is 9696.