Question

Can two numbers have 24 as their H.C.F and 460 as their L.C.M? Give reasons in support of your answer.with explanation

Answer 1

Answer:

No

Step-by-step explanation:

No, two numbers can not have 24 as their H.C.F and 460 as their L.C.M.

Because,

In order to make it possible, the LCM must be divisible by the HCF without leaving a remainder.

But,

$460 \div 24 = 19.166$

Here, the HCF didn't divide the LCM completely, so it is not possible.