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Q: Which two-digit number less than 20 is a multiple of of both 4 and 6?
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A number less than 50 but is a multiple of 3 and 7?

Both 21 and 42 will work. ■


Which two-digit number less than 20 is multiple of both 4 and 6?

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Is the LCM of a pair of number ever less than both nubers Explain with an example?

No. A multiple cannot be less than the number it is compared to. An LCM can never be less than the greatest number in the set.


What number that is less than 85 and is a multiple of 6 and 26?

The number you seek is 78 - it is a multiple of both 6 and 26 and is less than 85. To be a multiple of both 6 and 26 it must be a multiple of their lowest common multiple: 6 = 2 x 3 26 = 2 x 13 lcm = 2 x 3 x 13 = 78 So it must be one of 78, 156, 234, ...; only 78 satisfies the criteria of being less than 85.


Can the LCM of 9 and 17 be less than 17 Explain.?

No. A common multiple is a multiple of both numbers. There is no multiple of 17 that is less than 17.


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It is 30.


This number is less than 300 This number has three digits This is a multiple of 40 This number is a multiple of 60?

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7