An arrangement for driving a light source, including a plurality of LED strings by means of a current generator, wherein each said LED string forms a respective current mesh with said current generator, includes: at least one inductor acting on said current meshes, in each of said current meshes, an electronic switch having a first, working node towards the LED string and a second, reference node opposed to the LED string.All the reference nodes of all the electronic switches are connected together, and the working node of each electronic switch is connected to the work node of at least another one of the electronic switches via at least one current averaging capacitor.The electronic switches can be selectively rendered conductive, each one at a respective time interval, thereby selectively distributing the current of the current generator over the LED strings.