There is a group of soldiers.

- If we arrange them into groups of four, there is one left.
- If we arrange them into groups of five, there are two left.
- If we arrange them into groups of seven, there are four left.

How many soldiers are there in total at least?

The answer is 137.

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If we add three more soldiers, it will become: "there's nothing left in a group of 4,5,7"

So, $4\times5\times7=140$ satisfies the above. Subtract by 3 and get the answer=137