Question

The HCF of two numbers is 96 and their LCM is 1296. If one number is 864, then the other is

• A. 72
• B. 64
• C. 144
• D. 11664

Answer 1

The correct option is C 144

Given,
H.C.F of of two numbers is $96$.and their LCM is $1296$
One number is $864$
Let the other number be $x$

$x=\frac{LCM\times HCF}{onenumber}$

$x=\frac{96\times 1296}{864}$
$x=144$
$\therefore$ The other number is $144$