A Peculiar Number!

The digits 1, 2, 3, 4, and 5 are each used once to compose a five-digit number \(\overline{ABCDE}\), such that the three-digit number \(\overline{ABC}\) is divisible by 4, \(\overline{BCD}\) is divisible by 5 and \(\overline{CDE}\) is divisible by 3.

Submit the value of the five-digit number \(\overline{ABCDE}\) as your answer.

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