A silent chain power transmitting apparatus includes a silent chain and two or more sprockets with different number of teeth, wherein the sprockets each have a tooth form formed by hobbing with a hob cutter having teeth profiled similarly with the profile of a series of trapezoidal teeth formed by the inside flanks of longitudinally overlapping link plates of the silent chain so as to cut the periphery of a cylindrical workpiece with an amount of addendum modification set in such a manner that an engagement height of the inside flank at the onset of the meshing engagement between the silent chain and the sprocket is in equal to the distance between the sprocket center and the connecting pin centers when the silent chain is wrapped around and seated on the sprocket. The outside flanks of the silent chain have a first portion profiled by an envelope that is tangent to every one of a group of tooth forms of the sprockets when the silent chain is wrapped around the sprockets with different numbers of teeth.