Triangle $LMN$ is similar to triangle $OPQ$, where $L,M,N$ correspond to $O,P,Q$, respectively. The length of $\overline{LM}$ is 8, the length of $\overline{OP}$ is 20, and the length of $\overline{OQ}$ is 30. What is the length of $\overline{LN}$?