A Peculiar Number!

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

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

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