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: 68

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 = $2(2)(2)(2)(2)(3)(5)(5) = 2,400$
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