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Home » التبسيط: \(4w + 8 = 48\) - Sourci

التبسيط: \(4w + 8 = 48\) - Sourci

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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📌 But 1001 is a four-digit number. The condition specifies a three-digit number, and no three-digit number divisible by all three exists. However, reconsider: the smallest three-digit number divisible by \( 7 imes 11 imes 13 = 1001 \) is impossible.

📌 But note: the problem asks for the smallest three-digit number divisible by **each** of 7, 11, and 13. Since their product is 1001 > 999, no three-digit number satisfies this.

📌 But perhaps a misinterpretation: maybe the number is divisible by **at least one**, but the context implies "divisible by" the product. Given the constraints, no such three-digit number exists. But rechecking, the smallest number divisible by 7, 11, and 13 is 1001âexceeding three digits.

📌 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.

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