which branch can I get in LN MIIT with aprox 50-51k rank (94.55) percentile
With this much rank, you have some chances of getting "Computer science and engineering" branch at LNMIIT. However, with this rank, you have nearly 100 percent chances of getting "communication and computer engineering" branch a LNMIIT. Following are the 2018's cutoffs:
Communication and Computer engineering - 63000
Computer science and engineering - 40000
Hope this helps.