Answer
$2,400$
Work Step by Step
Factor each number completely to obtain:
$\begin{array}{cccccc}
&150&= &10(15) &= &2(5)\cdot (3)(5) &= &2(3)(5)(5)
\\&480 &= &30(16) &= &2(3)(5)\cdot (2)(2)(2)(2) &= &2(2)(2)(2)(2)(3)(5)
\end{array}$
Thus, the least common multiple (LCM) of the two numbers is:
LCM = $2(2)(2)(2)(2)(3)(5)(5) = 2,400$
