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72 is the number between 61 and 107 that is a multiple of 36

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Q: What number between 61 and 107 is a multiple of 36?
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Assuming you want a number that is a multiple of all of 4, 6, 9: It is a multiple of their lowest common multiple. lcm(4, 6, 9) = 36 So you require a multiple of 36 between 67 and 113: 67 ÷ 36 = 1 r 31 → 1st multiple of 36 > 67 is 2 x 36 = 72 113 ÷ 36= 3 r 5 → last multiple of 36 < 113 is 3 x 36 = 108 → both 78 and 108 are numbers between 67 and 113 which are multiples of all of 4, 6 & 9. If not, re-ask being more specific in your requirements.


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