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Home » \( a^3 + b^3 = 880 \) - IX Labs

\( a^3 + b^3 = 880 \) - IX Labs

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 $2 \cdot 3 = 6$

📌 $6 \cdot 5 = 30$

📌 $30 \cdot 7 = 210$

📌 $210 \cdot 13 = 2730$

📌 $2730 \cdot 109 = 2730 \cdot (100 + 9) = 273000 + 24570 = 297,570$

📌 Wait — correction: in earlier computation, we had $4 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 119$, but $119 = 7 \cdot 17$, and $119$ has repeated factor 7, so $7^1$ is sufficient.

📌 But $1,2,3,5,7,13,109$: all distinct primes → LCM = product of all distinct prime factors = $2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 109$

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