Z/Durchschnitt von Untergruppen/KgV/Fakt

Es seien ${}a_{1},\ldots ,a_{k}$ ganze Zahlen.

Dann ist

${}\mathbb {Z} a_{1}\cap \mathbb {Z} a_{2}\cap \ldots \cap \mathbb {Z} a_{k}=\mathbb {Z} u\,,$

wobei ${}u$ das kleinste gemeinsame Vielfache der ${}a_{1},\ldots ,a_{k}$ ist.

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