Question

Question 10 (b)

Find the LCM of the following numbers:
12 and 5
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.

$\begin{array}{cc}2& 12,5\\ 2& 6,5\\ 3& 3,5\\ 5& 1,5\\ & 1,1\end{array}$

LCM of 12 and 5
= $2\times 2\times 3\times 5$
= 60
Yes, the LCM is equal to the product of two numbers in this case because 12 and 5 do not have any common factor. And LCM is also the multiple of 3.