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Identify Multiples and Common Multiples
Worksheet
Grade Level
Grade 5
5.24 Identify Multiples and Common Multiples
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Ben is ordering flags for the community center. The total must be packable into groups of 27 and also into groups of 40 with none left over. The order must be between 3270 and 4360. Which statement best justifies the smallest possible total?
A
3270 because it is the smallest number in the range. Place value: 3270 has 3 thousands, 2 hundreds, 7 tens, and 0 ones. Estimation: smallest means best.
B
It must be a common multiple, so it must be a multiple of the LCM 1080. The first multiple of 1080 in the range is 4320. Place value: 4320 has 4 thousands, 3 hundreds, 2 tens, and 0 ones. Estimation check: 1100×4 is close to 4320.
C
4293 because subtracting one group of 27 still keeps it near. Place value: 4293 has 4 thousands, 2 hundreds, 9 tens, and 3 ones. Estimation: close is enough.
D
4320 because it is the next multiple of 1080. Place value: 4320 has 4 thousands, 3 hundreds, 2 tens, and 0 ones. Estimation: it is around 4300.
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