Intersection of modules is equal to product.

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If $B$ is a commutative ring and let $\mathcal{Q}_1,\ldots,\mathcal{Q}_n$ ideals relative primes.

Let $M$ be a $R$-module. I don't sure if this is true. Then

$$(\mathcal{Q}_1\cap\cdots \cap\mathcal{Q}_n)M \supseteq \mathcal{Q}_1M\cap \cdots \cap \mathcal{Q}_n M\ ?$$

i.e. $(\mathcal{Q}_1\cap\cdots \cap\mathcal{Q}_n)M =\mathcal{Q}_1M\cap \cdots \cap \mathcal{Q}_n M $.

Thank you all.