Topic: Which luigis mansion game should I play first

Does the story in LM 2 tie in with LM 3? I already played LM 1, but I dont have a 3ds. Will I miss anything if I play 3?

You should be fine. I played Luigi's Mansion: Dark Moon long before I played the first game...Well, the 3DS port. I don't recall the plots tying together in any way other than the fact that Luigi already understandably knows Professor E. Gadd in the second game.

Tl;dr: Play them in any order you like until we learn otherwise.