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Sapphire and Abe are shelving books at a public library. Sapphire shelves 12 books at a time, whereas Abe shelves 18 at a time. If they end up shelving the same number of books, what is the smallest number of books each could have shelved.

User Tadija
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2 Answers

3 votes

Answer:

36

Explanation:

nrly

User Henry Barker
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2 votes

Answer: 36

Explanation:

Given: Sapphire shelves 12 books at a time, whereas Abe shelves 18 at a time.

If they end up shelving the same number of books, what is the smallest number of books each could have shelved = LCM (12,18)

12 = 2 x 2 x 3

18 = 2 x 3 x 3

LCM (12, 18) = 2 x 2 x 3 x 3 = 36

Hence, the smallest number of books each could have shelved = 36

User AndreyAkinshin
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