What's a Good way to keep any script updated on multiple games?

I'm wondering how a person (if possible) can make a local script & Script be the same on multiple games.

I want to have a script in my place or as a model, however it will work, to be able to be edited by me and if someone else has my script on there game, my edit will be on the script in their game as well. I know about Private Modules, which is why I didn't ask about that because you can just make it a model and name it MainModule then save to ROBLOX. Is their something similar for scripts/Local scripts? I looked at Linked Scripts but I don't know if this works for multiple games.