In this paper we propose a model to reproduce superconductive and normal properties of the iron pnictide LiFeAs in the framework of the four-band s± wave Eliashberg theory. A confirmation of the multiband nature of the system rises from the experimental measurements of the superconductive gaps and resistivity as function of temperature. We found that the most plausible mechanism is the antiferromagnetic spin fluctuation and the estimated values of the total antiferromagnetic spin fluctuation coupling constant in the superconductive and normal state are λtot = 2.00 and λtot,tr = 0.77. PACS numbers: 74.70.Xa, 74.25.F, 74.20.Mn, Recent ARPES measurements of iron superconductor LiFeAs report four slightly anisotropic gaps [1]. Their isotropic values at 8 K are given by ∆ 1 = 5.0 meV, ∆ 2 = 2.6 meV, ∆ 3 = 3.6 meV, ∆ 4 = 2.9 meV and the critical temperature for this compound isIn an other work [3] we disregarded the anisotropic part of the gap values and we tried to reproduce the experimental data in the framework of s± wave multiband Eliashberg theory. At first, we calculated Z i (iω n ) have to be solved. If i is the band index (that ranges between 1 and 4) and ω n are the Matsubara frequencies, the imaginary-axis equations are:where Γ ij and Γ