Question

Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers.

336 and 54

Answer 1

336 = 2 × 2 × 2 × 2 × 3 × 7

54 = 2 × 3 × 3 × 3

L.C.M of 336 and 54 = 2 × 3 × 3 × 3

L.C.M of 336 and 54 = 3024

H.C.F of 336 and 54 = 6 

We know that,

L.C.M × H.C.F = First Numbers × Second Number

3024 × 6 = 336 × 26

18144 = 18144

Thus, LCM × HCF = Product of two numbers.