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📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Given the time, and to rescue the problem, perhaps the intended number is **the LCM**, and the âthree-digitâ is a mistake.

📌 But in spirit, we compute:

📌 So the smallest such number is 1001, but it is not three-digit.

📌 Thus, **no solution**âbut thatâs invalid.

📌 Alternatively, perhaps âdivisible by 7, 11, and 13â means divisible by **each**, but allows multiplesâstill 1001.

📌 Conclusion: the problem likely contains an error, but for olympiad style, assume we seek the smallest number divisible by all three, which is 1001, but since itâs four-digit, and the context says âthree-digitâ, perhaps rephrase.

📌 But to comply, suppose the question is: smallest three-digit number divisible by **7 and 11**, but not 13âthen find the largest such, but not âandâ.

📌 Given the above, and to generate a valid question, perhaps the intended intended numbers were smaller.

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