Question

find the lcm and hcf of the following pair of integer and verify the lcm×hcf product of two number. 336,54​

Answer 1

$\huge\mathcal{\underline{\underline{Answer:-}}}$

HCF(336,54) = 6

LCM(336,54) = 3024

$\huge\mathcal{\underline{\underline{Solution:-}}}$

We have,

336 = 2⁴ × 3 × 7

54 = 2 × 3³

_____________________________

HCF(336,54) = Product of common terms with lowest power

HCF(336,54) = 2 × 3

HCF(336,54) = 6

_____________________________

LCM(336,54) = Product of prime factors with highest power

LCM(336,54) = 2⁴ × 3³ × 7

LCM(336,54) = 16 × 27 × 7

LCM(336,54) = 432 × 7

LCM(336,54) = 3024

$\huge\mathcal{\underline{\underline{Verification:-}}}$

Product of given numbers = their HCF × their LCM

336 × 54 = 6 × 3024

18144 = 18144

•°• LHS = RHS

Hence, verified.