Question

If the HCF of 175 and 900 = 25, then what will be the LCM of 175 and 900?

• A. 6300

Answer 1

The correct option is A 6300
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 = 175, b = 900, HCF (175, 900 ) = 25
To find : LCM (175, 900)

$\Rightarrow 175\times 900=25\times LCM(175,900)LCM(175,900)=\frac{175\times 900}{25}=6300$

Hence, the LCM (175, 900) = 6300.