Fourier coefficients of Eisenstein series figure prominently in the study of automorphic L-functions via the Langlands-Shahidi method, and in various other aspects of the theory of automorphic forms and representations. In this paper, we define Langlands Eisenstein series for \({\rm SL}(n,\mathbb Z)\) in an elementary manner, and then determine the first Fourier coefficient of these series in a very explicit form. Our proofs and derivations of are short and simple, and use the Borel Eisenstein series as a template to determine the first Fourier coefficient of other Langlands Eisenstein series.