Question

Find HCF and LCM of 404 and 96 and verify that HCF × LCM = Product of the two given numbers.

Answer 1

404 = 2 × 2 × 101

96 = 2 × 2 × 2 × 2 × 2 × 3

LCM = 2 × 2 × 2 × 2 × 2 × 3 × 101 = 9696

LCM = 9696

HCF = 2 × 2 = 4

Product of numbers = 96 × 404 = 38784

LCM × HCF = 4 × 9696 = 38784

Hence, LCM × HCF = Product of numbers.