Question

Find LCM of $3,4,5,6$

Answer 1

Express the given numbers as product of their prime factors to find the LCM :

Given numbers, $3,4,5,6$

$$\begin{gathered} \Rightarrow 3=3\times 1=3^1 \\ \Rightarrow 4=2\times 2=2^2 \\ \Rightarrow 5=5\times 1=5^1 \\ \Rightarrow 6=2\times 3=2^1\times 3^1 \end{gathered}$$

LCM can be calculated by multiplying the prime factors raised to their highest power

$\therefore$ $LCM=2^2\times 3^1\times 5^1$

$=4\times 3\times 5$

$\therefore$ $LCM=60$

Hence the LCM of $3,4,5,6$ is $60$