Question

HCF (16, 256) = 16, then the LCM (16, 256) = .

• A. 16
• B. 128
• C. 256

Answer 1

The correct option is C 256

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 = 16, b = 256, HCF (16, 256 ) = 16
To find : LCM (16, 265)

$\Rightarrow 16\times 256=16\times LCM(16,256)LCM(16,256)=\frac{16\times 256}{16}=256$

Hence, the LCM (16, 256) = 256.