  Approximate solutions for the gluon and ghost propagators as well as the
running coupling in Landau gauge Yang-Mills theories are presented. These
propagators obtained from the corresponding Dyson-Schwinger equations are in
remarkable agreement with those of recent lattice calculations. The resulting
running coupling possesses an infrared fixed point, $\alpha_S(0) = 8.92/N_c$
for all gauge groups SU($N_c$). Above one GeV the running coupling rapidly
approaches its perturbative form.
