The HCF of two numbers is 16 and their product is 3072. Find their LCM.

Given :

HCF of two numbers is 16.

Product of the numbers $= 3072$.

To do :

We have to find the LCM.

Solution :

 

Let the LCM of the numbers be x.

Product of numbers $=$ product of their HCF and LCM.

Therefore,

$3072 = 16(x)$

$16x=3072$

$x=\frac{3072}{16}$

$x=192$

The LCM is 192.