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The largest natural number, which exactly divides the products of any four consecutive natural numbers, is?

Correct Answer: 24

Explanation:

In any 4 consecutive natural numbers:
Two numbers will be divisible by 2, one of which will be divisible by 4, at least one number will be divisible by 3.
These facts give us a lower bound of 2 x 4 x 3 = 24 for the solution.
But 24 is also the product of the first 4 consecutive natural numbers, so it is also an upper bound.

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