A drive circuit (DR) drives a plurality of LED strings (DS1, DS2; DS10) each comprising at least one LED (Di). The drive circuit comprises a resonance inductor (K1), and a plurality of branches which each comprise a series arrangement of a resonance capacitor (C31, C32; C34, C35) and an associated one of the plurality of LED strings (DS1, DS2; DS10). The resonance capacitor (C31, C32; C34, C35) is arranged between the resonance inductor (K1) and its associated one of the plurality of LED strings (DS1, DS2; DS10) to receive a resonance voltage (VAC) from the resonance inductor (K1). A level and frequency of the resonance voltage (VAC) and an impedance of the resonance capacitor (C31, C32; C34, C35) are selected to obtain a current source supplying a LED current (IL1 IL2; IL10) through the associated one of the plurality of LED strings (DS1, DS2; DS10) which is substantially independent on a tolerance on forward voltages of LED's of the associated one of the plurality of LED strings (DS1, DS2; DS10).