The number of subgroups of a cyclic group $G$ s.t. $|G| = pqr$

Question

I know that if $|G|=n$, where $G$ is a cyclic group, then $G$ has a unique subgroup of order $d$ for each divisor of $n$. For the cyclic group $G$ whose order is $pqr$, such that each of $p$,$q$,$r$ is a distinct prime, how should I determine the number of subgroups including $\{id\}$ and $G$ itself?