Solution: The number must be divisible by the least common multiple (LCM) of 7, 11, and 13. Since these are all primes, LCM = 7 Ã— 11 Ã— 13 = 1001. The smallest four-digit number is the first multiple of 1001 â‰¥ 1000, which is $1001 imes 1 = 1001$. Thus, the answer is $oxed{1001}$.

Mon, 04 May 2026 17:13:50 +0000

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