Question

If the HCF of 72 and 192 is 24, then find the LCM of 72 and 192.

• A. 576

Answer 1

The correct option is A 576
We know that, the product of the numbers will be equal to the product of LCM and HCF os the numbers.

If a and b are the two numbers, then,
$a\times b=LCM(a,b)\times HCF(a,b).$

Given: a = 72, b = 192, HCF (72, 192) = 24
To find : LCM (72, 192)

$\Rightarrow 72\times 192=24\times LCM(72,192)LCM(72,192)=\frac{72\times 192}{24}=576$

Hence, the LCM (72, 192) = 576.