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

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Find the least positive number, which leaves, if divided by [#permalink] New post 06 Jul 2004, 01:11
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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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 [#permalink] New post 06 Jul 2004, 07:03
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.
  [#permalink] 06 Jul 2004, 07:03
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Find the least positive number, which leaves, if divided by

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