At most two of four events

Let $E_{1},E_{2},E_{3}$ and $E_{4}$ be four independent events such that $P(E_{1})=\dfrac{1}{2}$, $P(E_{2})=\dfrac{1}{3}$, $P(E_{3})=\dfrac{1}{4}$ and $P(E_{4})=\dfrac{1}{5}$. Let $p$ be the probability that at most two events among $E_{1},E_{2},E_{3}$ and $E_{4}$ occur. Then, $240p$ is equal to __________.