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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.
