Question 10 (c)

Find the LCM of the following numbers:
6 and 5
Observe a common property in the obtained LCMs. Is LCM the product of two numbers in each case?

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Solution

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

$\begin{matrix} 2 & 6, 5 3 & 3, 5 5 & 1, 5 1, 1 \end{matrix}$

LCM of 6 and 5
= $2 \times 3 \times 5$
= 30
Yes, the LCM is equal to the product of two numbers in this case because 6 and 5 do not have any common factor. And LCM is also the multiple of 3.

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