Answer
$4,560$
Work Step by Step
Factor each number completely to obtain:
$\begin{array}{cccccc}
&240&= &10(24) &= &2(5)\cdot (2)(2)(2)(3) &= &2(2)(2)(2)(3)(5)
\\&285 &= &15(19) &= &3(5)(19) &= &3(5)(19)
\end{array}$
Thus, the least common multiple (LCM) of the two numbers is:
LCM = $2(2)(2)(2)(3)(5)(19) = 4,560$
