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Home » We seek $ \mathbfv = \langle x, y, z \rangle $ such that: - Aurero

We seek $ \mathbfv = \langle x, y, z \rangle $ such that: - Aurero

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 Waitâperhaps the problem intends the smallest three-digit number **divisible by the lcm**, but since lcm is 1001, no such number exists.

📌 But to resolve: reconsider if "divisible by 7, 11, and 13" means divisible by their **product**âwhich is 1001âso no three-digit multiple.

📌 But if the intended meaning is divisible by **each** individually, then the lcm is still 1001.

📌 Thus, there is **no** three-digit number divisible by 7, 11, and 13.

📌 But this contradicts the premise. Alternatively, perhaps the number needs only to be divisible by one of them? But context suggests common constraint.

📌 Waitâunless the number is divisible by the **least common multiple**, which is 1001, but thatâs four digits. So no such three-digit number exists.

📌 But suppose the problem meant: smallest three-digit number divisible by **at least one**? Thatâs trivial.

📌 Alternatively, misread: perhaps "divisible by 7, 11, or 13"âbut thatâs not what it says.

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