Question

Find L.C.M of $14,21$ and $35$ by prime factorisation method.

Answer 1

Step 1: Prime factorisation of the given numbers.

Step 2: Find L.C.M. of the given numbers.

$$\begin{gathered} 14=2\times 7 \\ 21=3\times 7 \\ 35=5\times 7 \end{gathered}$$

L.C.M. $=2\times 3\times 5\times 7=210$

Therefore, L.C.M. of $14,21$ and $35$ is $210$.