Question

The product of two numbers is $6912$ and their GCD is $24$. What is their LCM?

• A. $280$
• B. $286$
• C. $288$
• D. $296$

Answer 1

Answer: (C)

$288$

Given, product of two numbers is $6912$ and GCD $=24$

We know $\text{GCD}\times \text{LCM}=\text{product}$

Therefore, $24\times \text{LCM}=6912$
$\Rightarrow \text{LCM}=\frac{6912}{24}=288$

Thus LCM of two numbers is $288$.