# Chapter 5 - Number Theory and the Real Number System - 5.1 Number Theory: Prime and Composite Numbers - Exercise Set 5.1: 67

$4,560$

#### 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 = $2(2)(2)(2)(3)(5)(19) = 4,560$

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