It is better to wire lamps in parallel, so if one burns out, the others will tell you which one it is. Series is used when a number of low voltage lamps are used with a high voltage supply, because it is cheaper and simpler to wire.
LEDs should have their own series load resistor. Trying to run many of them through a common resistor will reduce their output, so a lower value of resistor has to be used to maintain decent current flow. The flip side is that if a couple don't light because they don't get enough current, more current flows through the others and possibly shortens their lifespan.
Since resistors are pretty cheap, (cheaper than the LEDs) there is really no reason to try and scrimp on their usage.
The alternative is to build a multiplexing circuit, but that will need some room, and costs more than resistors too.