Measurements of the temperature and angular dependencies of the upper critical field of a stoichiometric single crystal LiFeAs in pulsed magnetic fields up to 50 T were performed using a tunnel diode resonator. Complete and functions with T, T, and the anisotropy parameter decreasing from 2.5 at to 1.5 at were obtained. The results for both orientations are in excellent agreement with a theory of for two-band pairing in the clean limit. We show that is mostly limited by the orbital pair breaking, whereas the shape of indicates strong paramagnetic Pauli limiting and the inhomogeneous Fulde-Ferrel-Larkin-Ovchinnikov state below K.