LED chasers that using IC4017 always contain a timer ic for making clock pulse, but this circuit used a flashing RGB LED as a pulse source, so this is simplest, smallest and cheapest LED chaser with 10 LEDs.
This circuit can run with 9v battery and draw only 20mA.
Parts list:
IC4017
LEDs(10pcs)
Flashing LED
Resistor 470 ohm
Resistor 330 ohm
Battery 9v