Answer
$48,160$
Work Step by Step
Factor each number completely to obtain:
$\begin{array}{cccccc}
&224 &= &8(28) &= &2(2)(2)(4)(7) &= &2(2)(2)(4)(7)
\\&430 &= &10(43) &= &2(5)(43) &= &2(5)(43)
\end{array}$
Thus, the least common multiple (LCM) of the two numbers is:
LCM = $2(2)(2)(4)(5)(7)(43) = 48,160$
