Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 2 - Real Numbers - Chapters 1-2 Cumulative Review Problem Set - Page 91: 30



Work Step by Step

First, we express each number as a product of prime factors: $40=2\times2\times2\times5$ $100=2\times2\times5\times5$ The least common multiple includes each different prime factor as many times as the most times it appears in one of the factorizations. The most times 2 appears is three times The most times 5 appears is twice. LCM$=2\times2\times2\times5\times5=200$
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