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Home » The given sum can be simplified using partial fraction decomposition: - go-checkin.com

The given sum can be simplified using partial fraction decomposition: - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Solution: The alignment occurs at the least common multiple of 2025 and 1515.

📌 Compute $\text{LCM}(2025, 1515) = \frac{2025 \times 1515}{\gcd(2025, 1515)}$.

📌 From prior calculation, $\gcd(2025, 1515) = 15$.

📌 Thus, $\text{LCM} = \frac{2025 \times 1515}{15} = 2025 \times 101 = 204525$.

📌 The answer is $\boxed{204525}$.

📌 Question: What is the smallest three-digit number that is divisible by both 19 and 23, representing the minimal coordinates for a planetary landing site?

📌 Solution: Compute $\text{LCM}(19, 23) = 19 \times 23 = 437$.

📌 The smallest three-digit multiple of 437 is $437 \times 1 = 437$ (since $437 \times 2 = 874$ is also three-digit, but 437 is the smallest).

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