What is the smallest positive five-digit integer, with all different digits, that is divisible by each of its non-zero digits?  Note that one of the digits of the original integer may be a zero.
Question:
What is the smallest positive five-digit integer, with all different digits, that is divisible by each of its non-zero digits?  Note that one of the digits of the original integer may be a zero.
Answer:
Let's think step by step.

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10,\!236
What is the smallest positive five-digit integer, with all different digits, that is divisible by each of its non-zero digits?  Note that one of the digits of the original integer may be a zero.
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