Question

Verify that hcf×lcm = Product of two numbers . 14 and 18

Answer 1

Solution:

Let a = 14 , b = 18

14 = 2×7

18 = 2×3×3

LCM(14,18) = 2×3×3×7=126

HCF(14,18) = 2

HCF × LCM = 126 × 2 = 252

a×b = 14 × 18 = 252

Therefore,

HCF × LCM = a × b

••••