What is the LCM of $5,8$and $9$?

Solve for the required L.C.M:

We know that prime factors of

1. $5$ is $5$ itself
2. $8$ is $2\times 2\times 2$
3. $9$ is $3\times 3$.

$\therefore$L.C.M.$\left(5,8,9\right)=2^3\times 3^2\times 5$

$$\begin{gathered} =8\times 9\times 5 \\ =360 \end{gathered}$$

Hence, the required LCM is $360$.