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1×2×3×⋯×8881\times2\times3\times\cdots\times8881×2×3×⋯×888 is obviously divisible by 888.
But what is the smallest value of NNN such that 1×2×3×⋯×N1\times2\times3\times\cdots\times N1×2×3×⋯×N is divisible by 888?
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