Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 3 - Adding and Subtracting Fractions - 3.2 Least Common Multiples - 3.2 Exercises - Page 214: 62

Answer

12000

Work Step by Step

The Least Common Multiple is the smallest number that is a multiple of all of the numbers listed. Remember, multiples of a number are all of the numbers that the number can be multiplied by a whole number to get that number. Thus, we find the multiples of each number until we get a common multiple: $$ 600: 600,1200,1800,2400,3000,3600,4200,4800,5400,6000,6600,7200,7800,8400,9000, 9600, 10200,10800,11400, 12000 \\ 4000: 4000,8000,120000$$ The LCM is 12000.
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