Question

hcf and lcm 336 and54 and verify lcm*hcf product of two numbers​

Answer 1

Given :

Two numbers 336 and 54

To be found :

HCF and LCM of 336 and 54

also verify

HCF×LCM = product of two numbers

Prime factorization of both the numbers

336 = 2 × 2 × 2 × 2 × 3 × 7

54 = 2 × 3 × 3 × 3

now

HCF(336,54) = 2 × 3 = 6

LCM(336,54) = 2×2×2×2×3×3×3×7 = 3024

Now

HCF×LCM

= 6×3024

= 18144

product of two numbers

= 336 × 54

= 18144

Therefore

HCF×LCM = product of two numbers

Hence Verified

Answer 2

Step-by-step explanation:

Correct Question -

Find HCF and LCM of 336 and 54 and verify LCM × HCF = Product of two numbers

To Find -

HCF and LCM of 336 and 54

336 = 2 × 2 × 2 × 2 × 3 × 7

54 = 2 × 3 × 3 × 3

HCF of 336 and 54 is 6

And

LCM of 336 and 54 is 3024

Verification -

LCM × HCF = Product of two

numbers

= 3024 × 6 = 336 × 54

= 18144 = 18144

Hence,

verified