Single-switch multi-output light emitting diode (LED) drivers derived from Cuk, Sepic and Zeta converter are proposed and analysed. The proposed multi-output LED drivers can achieve balanced output current of each LED string by charge balance of storage capacitor without auxiliary current balancing circuit. Therefore, if only the output current of one LED string is controlled to the required level, the output currents of other LED strings will be regulated to the same level naturally, which will greatly simplify the control loop, especially when the number of LED string is numerous. The proposed LED drivers use only one active switch, which decreases the volume of circuit and simplifies the control loop. Finally, a 76 W prototype is built to verify the studied results.