**How

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But perhaps a misinterpretation: maybe the number is divisible by **at least one**, but the context implies "divisible by" the product. Given the constraints, no such three-digit number exists. But rechecking, the smallest number divisible by 7, 11, and 13 is 1001—exceeding three digits.
Wait—perhaps the problem intends the smallest three-digit number **divisible by the lcm**, but since lcm is 1001, no such number exists.
But to resolve: reconsider if "divisible by 7, 11, and 13" means divisible by their **product**—which is 1001—so no three-digit multiple.

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