Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.1 Number Theory: Prime and Composite Numbers - Exercise Set 5.1: 65

Answer

$3,420$

Work Step by Step

Factor each number completely to obtain: $\begin{array}{cccccc} &342 &= &9(38) &= &3(3)(19)(2) &= &2(3)(3)(19) \\&380 &= &10(38) &= &2(5)(2)(19) &= &2(2)(5)(19) \end{array}$ Thus, the least common multiple (LCM) of the two numbers is: LCM = $2(2)(3)(3)(5)(19) = 3,420$
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