PROBLEM:-
Amanda arranges 8 books at a time while Rey arranges 9 books at a time. If they end up arranging the same number of books, what is the smallest number of books could have arranged?
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ANSWER
The Smallest number of books each could have arranged.
8 books , 9 books
FIND THE LCM
[tex]\begin{gathered}\begin{array}{r|} 2&8,9 \\\hline 2&4,9 \\\hline 2&2, 9\\\hline 3&1,9 \\\hline \: 3&1,3\\\hline &1,9\end{array}\end{gathered}[/tex]
LCM= 2×2×2×3×3
LCM= 72
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MULTIPLES OF 8:
8 , 16 , 24 , 32 , 40 , 48 , 56 , 64 , 72 , 80 , 88
MULTIPLES OF 9:
9 , 18 , 27 , 36 , 45 , 54 , 63 , 72 , 81 , 90
The Smallest number of books is 72.
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