Is there a formula to calculate take off runway distance for commercial planes?
These calculations are quite complex because they take into consideration a lot of different variables, just off the top of my head:


Take off weight, which includes FOB
Runway length
Runway condition
Field elevation
Air temperature
Air pressure
Wind
Engine type and airplane configuration


Based on those (and I am sure many more), you have to calculate at minimum V1, VR and V2, and possibly others.

These calculations are looked up from a table.