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GCD & LCMhard
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What is the smallest number NNN such that N≡3(mod7),N≡5(mod8),N≡2(mod9)N \equiv 3 \pmod 7, N \equiv 5 \pmod 8, N \equiv 2 \pmod 9N≡3(mod7),N≡5(mod8),N≡2(mod9)?