Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 3 - Adding and Subtracting Fractions - 3.2 Least Common Multiples - 3.2 Exercises: 64

Answer

The LCM is $1760$ because the prime factorization shows that the number $55$ is included in the prime factorisation of $1750$.

Work Step by Step

$55 = 5 \cdot 11$ $1760 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 55 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 11$ LCM $= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 11 = 1760$.
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