Question

Question 10 (d)

Find the LCM of the following numbers:
15 and 4
Observe a common property in the obtained LCMs. Is LCM the product of two numbers in each case?

Answer 1

The least common multiple (LCM) of 2 or more numbers is the smallest number that they all divide evenly.

$\begin{array}{cc}2& 15,4\\ 2& 15,2\\ 3& 15,1\\ 5& 5,1\\ & 1,1\end{array}$

LCM of 15 and 4
= $2\times 2\times 3\times 5$
= 60
Yes, the LCM is equal to the product of two numbers in this case because 15 and 4 do not have any common factor. And LCM is also the multiple of 3.