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- But waitâperhaps âdivisible by 7, 11, and 13â is a red herring, but no.
- After careful reconsideration, the **smallest** positive integer divisible by 7, 11, and 13 is **1001**, which is not three-digit. Therefore, **no** three-digit number satisfies this condition.
- But this cannot be the expected answer.
- 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.
