Harlow has five magnets, each with a different number from \(1\) to \(5.\) They arranged these magnets to create a five digit number \(ABCDE\) such that:
the three-digit number \(ABC\) is divisible by \(4\),
the three-digit number \(BCD\) is divisible by \(5\), and
the three-digit number \(CDE\) is divisible by \(3.\)
Determine the five-digit number that Harlow created.
Theme: Number Sense