What are they? and what determines the amounts? Thanks.
New York State LLCs are required to file form IT 204-LL. If the LLC has New York souced income then it will be required to pay a fee of $100 per member with a minimum charge of $500 unless the LLC is a single member LLC (disregarded entity) then it pays $100.
Partnerships and LLCs doing business in New York City are subject to the Unincorporated Business Tax (UBT) which is 4%, however I believe if the LLC is only conducting rental real estate activities there is an exception and no tax is due.
Hope this helps.