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📰 But 1001 is a four-digit number. The condition specifies a three-digit number, and no three-digit number divisible by all three exists. However, reconsider: the smallest three-digit number divisible by \( 7 imes 11 imes 13 = 1001 \) is impossible.
📰 But note: the problem asks for the smallest three-digit number divisible by **each** of 7, 11, and 13. Since their product is 1001 > 999, no three-digit number satisfies this.
📰 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 1001âexceeding three digits.
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