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Home » The LCM is obtained by taking the highest power of each prime: - American Beagle Club

The LCM is obtained by taking the highest power of each prime: - American Beagle Club

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Solution: Add the numbers:

📌 Now compute $ 8104 \mod 10 $:

📌 \equiv 4 \pmod{10}

📌 Thus, the remainder is $ \boxed{4} $.

📌 Question: A science journalist is reporting on a Mars rover that sends data every 13 minutes. If it sent a signal at minute 0, what is the minute number of its 100th signal if signals occur every 13 minutes?

📌 Solution: The 100th signal occurs at minute:

📌 \times (100 - 1) = 13 \times 99 = 1287

📌 So the minute number of the 100th signal is $ \boxed{1287} $.

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