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Home » The Shocking Secret Behind Stunning Pendulum Clocks That Everyone Is Talking About! - Imagemakers

The Shocking Secret Behind Stunning Pendulum Clocks That Everyone Is Talking About! - Imagemakers

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 $2520 \cdot 11 = 27720$.

📌 So $\mathrm{lcm} = 27720$.

📌 Now find smallest $k$ such that $27720k > 1,\!000,\!000$:

📌 k > \frac{1,\!000,\!000}{27720} \approx 36.06.

📌 So $k = 37$.

📌 Then $27720 \cdot 37 = 27720 \cdot 30 + 27720 \cdot 7 = 831600 + 194040 = 1,\!025,\!640$.

📌 Thus, the smallest such grid size is $\boxed{1025640}$.

📌 Question: In an online number theory challenge, students are asked: What is the remainder when $3^{2025} + 5^{2025}$ is divided by 8?

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