5V 1A vs 5V 5A power supply for 6 LED + Arduino
Depending on your led, it will draw 10 to 20mA for a standard led. Thats 0.010 to 0.020A. Multiply this by 6 and you see that a 1A power supply will be enough.

Your arduino, when driving those leds, will also use a few mA. So you can power everything with a 1A power supply.