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Home » Área = \(w \times \textlongitud = 2\sqrt5 \times 4\sqrt5 = 8 \times 5 = 40\) metros cuadrados - Aurero

Área = \(w \times \textlongitud = 2\sqrt5 \times 4\sqrt5 = 8 \times 5 = 40\) metros cuadrados - Aurero

📅 March 16, 2026 👤 scraface

Mar 16, 2026

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📌 LCM includes $2^2$, $3$, $5$, $7$, $13$, $109$

📌 LCM = $4 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 109 = 12 \cdot 5 = 60$, $60 \cdot 7 = 420$, $420 \cdot 13 = 5460$, $5460 \cdot 109 = 594840$

📌 Even larger.

📌 Continue testing, but the key is to use distinct primes and include higher ones to maximize LCM. The configuration $1, 2, 3, 5, 7, 13, 109$ gives a large LCM with distinct prime factors, and sum = 140.

📌 We verify no configuration can have higher LCM: any repeated primes reduce LCM (since max exponent is 1 for shared prime), and adding shifts forces other numbers to shrink, losing prime factors.

📌 Thus, the maximum LCM occurs when the numbers are chosen to include as many distinct prime powers as possible, especially large primes.

📌 The configuration $1, 2, 3, 5, 7, 13, 109$ gives:

📌 \text{LCM}(1,2,3,5,7,13,109) = 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 109

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