If the product of two numbers is 1050 and their HCF is 25,
Question:

If the product of two numbers is 1050 and their HCF is 25, find their LCM.

Solution:

HCF of two numbers = 25
Product of two numbers = 1050
Let their LCM be x.

Using the formula, Product of two numbers = HCF × LCM
we conclude that,

$1050=25 \times x$

$x=\frac{1050}{25}$

= 42

Hence, their LCM is 42.