Question

Using prime factorisation method , find the LCM of $36,80and120$

Answer 1

Find the prime factorisation of the given numbers by prime factorisation method

$$\begin{gathered} 36=2\times 2\times 3\times 3 \\ 80=2\times 2\times 2\times 2\times 5 \\ 120=2\times 2\times 2\times 3\times 5 \end{gathered}$$

Here $2,2$ are common factor of all of them

Hence, the LCM of $36,80and120$ is $2\times 2\times 2\times 2\times 3\times 3\times 5=720$.