Question

For the below pair of numbers, verify that their product = (HCF × LCM).
490, 1155

Answer 1

490 and 1155

490 = 7 × 7 × 2 × 5
1155 = 5 × 7 ×3 × 11

HCF = 7 × 5 = 35
LCM = 7 × 5 ×7 × 2 × 3 × 11 = 16170

Now, HCF × LCM = 35 × 16170 = 565950
Product of the two numbers = 490 × 1155 = 565950
∴ HCF × LCM = Product of the two numbers
Verified.