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# Find the least positive number, which leaves, if divided by

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Joined: 03 Feb 2003
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Find the least positive number, which leaves, if divided by [#permalink]  06 Jul 2004, 00:11
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Find the least positive number, which leaves, if divided by 3, 5, and 12, a remainder of 2.
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Joined: 01 Jul 2004
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I believe its 62.

x = 3K1 + 2

x = 5K2 + 2

x = 12K3 + 2

K1, K2 and K3 are integers.

So essentially you need to find the LCM of 3,5 and 12 which would correspond to x - 2. So X is 62.
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