About the Cohomology Groups of a free abelian group $G$ in $n$ generators with coefficients in a $G$-module $M$

Question

Let $G$ a free abelian group with $n$ generators $t_{1},t_{2},...,t_{n}$ and $M$ be a $G$-module. Is there an explicit description of the cohomology groups $H^{i}(G,M), i=0,1,2....$ ?

It is well know the case when $n=1$.

I will appreciate a reference in order to know that description.