Question

if HCF(a, 54) = 6 and LCM(a, 54) = 3024, find a.?​

Answer 1

$\large\mathfrak \pink{Solution:-}$

$\underline \mathbb{GIVEN:-}$

HCF = 6

LCM = 3024

One number = 54

$\underline \mathbb{TO  \: FIND:-}$

The other number .

$\underline \mathbb{FORMULA:-}$

HCF × LCM = One number × Other number

$\underline \mathbb{BY  \: THE  \: PROBLEM:-}$

$HCF \times LCM = One \:number \times Other \:number\\ \\ \implies 6\times 3024=54 \times Other \:number\\ \\ \implies Other \:number= \cancel{\frac{6\times 3024}{54} } \\ \\ \implies Other \:number= 336$

$\underline \mathbb{ANSWER:-}$

$\\ \\ \implies\boxed{ Other \:number= 336}$