Can anyone help me prove what is the smallest $n \in \mathbb{N}$ such that $n$ is divisible by $2,3,5$, is square and a fifth power
I have so far, for $n,y,q,p,z\in \mathbb{N}$
$n=30q$ , $n=y^2$ $\Rightarrow q=\frac{p^2}{30}$
And obviously $n=z^5$