Question

For the given two numbers, we get LCM if we divide their product by HCF.

• A. True
• B. False

Answer 1

The correct option is A

True

Using the following formula we get required LCM of two numbers a, b

We know that, the product of two numbers = LCM of the two numbers x HCF of the two numbers

LCM (a, b) = $\frac{ab}{HCF(a,b)}$

If we have 24 and 36. The HCF of 24, 36 is 12.

So applying the above formula we get,

LCM = $\frac{24\times 36}{12}$ = 72, which is true.

Hence, this proves our statement.