No spark, how to diagnose... 86 FZ600

Hey Guys!

So I've been lurking & reading other/older posts but feel like I should just ask myself:

Recently purchased an 86 FZ600, got to ride it once then it died 3 times on the way home.

Bought a multimeter - battery is good and its charging (when it runs).

Removed and thoroughly cleaned the carbs.

Fresh gas and fuel filter. Still nothing.

Will not start, but the few times it did, its dies soon after.

There's NO SPARK. My first guess is the ignition coils, but it seems like there's too many possibilities.

Basically I don't have a lot of money to just throw around, I'd like to know how/where to test and narrow it down.

Any help would be appreciated. I'll come shovel your driveway in the winter.

Thanks!!

Guenther