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: 66

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 = $2(2)(2)(4)(5)(7)(43) = 48,160$
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