A multi-string LED driving method and system requires generating pulse-width-modulated (PWM'd) driving signals to respective LED strings to control their brightness levels, and staggering the timing of the driving signals such that the number of LED strings driven on simultaneously varies over time by no more than one LED string. The PWM'd driving signals are generated to, for example, achieve local dimming for a display device which employs a multi-string LED backlight system; the present method enables local dimming to be achieved while maintaining a relatively constant load on the drive circuit. The staggering of the timing of the PWM'd driving signals is preferably implemented by arranging the ON times of the driving signals such that they occur serially, such that the loading imposed by the LED strings is spread throughout each switching cycle.