Mathematics Problem Solving
Volume 5, Number 15, January 10, 2000
A multiple of a number is the product of that whole number and another whole number. For example, 16 is a multiple of 2 because 2 times another whole number (8) equals 16. Sixteen is also a multiple of 1, 4, 8, and 16.
1. I am a number. I am a multiple of 7. I am also a multiple of 5. (That means I am a common multiple of 7 and 5.) I am not 35. I am less than 100. What number am I?
2. I am a number. I am a common multiple of 4, 5, 6, and 7. I am less than 10. What number am I?
3. I am a number. I am the smallest common multiple of 3 and 4, not counting zero. (That’s called the least common multiple.) What number am I?
4. I am a number. I am the least common multiple of 3, 5, and 8. What number am I?
5. I am a number. I am half as much as the least common multiple of 4 and 8. What number am I?
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