Question

60 is the LCM of which of the following pair of number

Answer 1

Answer:

The pair of number that has the LCM of 60 is;

$15\text{ and 20}$

Explanation:

Given the pairs of number in the answer choices, we want to select the pair that has a LCM of 60;

Let us find the LCM of each of the pairs;

$\begin{gathered} 12=2\times2\times3 \\ 18=2\times3\times3 \\ \text{LCM = 2}\times2\times3\times3=36 \end{gathered}$$\begin{gathered} 10=2\times5 \\ 30=2\times3\times5 \\ \text{LCM}=2\times3\times5=30 \end{gathered}$$\begin{gathered} 15=3\times5 \\ 20=2\times2\times5 \\ \text{LCM}=2\times2\times3\times5=60 \end{gathered}$$\begin{gathered} 20=2\times2\times5 \\ 25=5\times5 \\ \text{LCM}=2\times2\times5\times5=100 \end{gathered}$

Therefore, the pair of number that has the LCM of 60 is;

$15\text{ and 20}$