lorraine toussaint

lorraine toussaint

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29 17 NRJ Vos Hits ACG 80 ACG 79 ACG VOCALOID 77 .

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Alternatively, perhaps the problem meant: divisible by **one** of them, but says “and”—highlighting shared constraint.Given the difficulty, reconsider: maybe the number is divisible by **each** 7, 11, 13—so must be multiple of 1001.Thus, **no** three-digit number qualifies.But this is impossible—so likely a misinterpretation.Wait—perhaps “divisible by 7, 11, and 13” is meant to be “divisible by 7 and 11 and 13”, i.e., divisible by lcm=1001—but again, too big.But there’s a well-known problem: smallest number divisible by 7, 11, 13 is 1001.But perhaps the problem meant: smallest three-digit number divisible by **7**, **by 11**, and **by 13**—same thing.Unless the school year is 1001 days? Unlikely.But to resolve: perhaps the intended number is **the** least such, which is 1001, but since it’s four-digit, the problem may have a typo.But in olympiad style, perhaps we find the smallest three-digit number divisible by **at least one**, but that’s not “and”.