IIRC, there are three Light Cycle jackpot levels, single, super, double super.
Single jackpot is any lit shot,
Super jackpots are then lit at any combos from the first shot (2 way combo)
Double Supers are then lit at any combo from the second shot (3 way combo)
Completing lightcycle can be done by collecting a double super (3 way combo) or by collecting 3 (I think) super jackpots (3x two way combos)
There may be a number of single jackpots to complete it but I don't think I've ever seen it happen.
Completing it in SoS is different but similar. It doesn't require combos but the shots light in the same sequence as you make them.