Question

find the LCM and hcf of 336 and 54 and verify that LCM × hcf = product of two numbers​

Answer 1

Lcm of 336 and 54 =3034

hcf of 336and 54 =6

hcf ×lcm =product of number

3034×6=336×54

18144=18144

Answer 2

Prime factors of:

336 = 2 × 2 × 2 × 2 × 3 × 7

54 = 2 × 3 × 3 × 3

LCM(336, 54) = 2 × 2 × 2 × 2 × 7× 3 × 3 × 3 = 3024

HCF(336, 54) = 2 × 3 = 6

So,

LCM × HCF = 3024 × 6 = 18144 (Equation 1)

And,

Product of two numbers = 336 × 54 = 18144 (Equation 2)

From Equation 1 and Equation 2

LCM × HCF = Product of two numbers

Hence, verified.