can I get lnmiit Jaipur or jiit noida with general rank 56000 in jee main
Yes, you have chances in LNMIIT and JIIT Noida based on your rank.
You can also get good private college in other states like: Haryana, UP, West Bengal, Punjab, Rajasthan, Maharashtra. Most of the states have reservation for other state students in private colleges based on JEE Main score/rank. You need to apply separately for them.
Good Luck!!