2003 Lincoln LS running hot

What is the coolant level? Low coolant will indicate a leak in the system that needs to be found. The fans may be commanded on for a separate reason, but following the standard procedure of checking easy things is always where to starts. If you need assistance doing this here is the link. (note: generic vehicle used) https://www.2carpros.com/first_things/coolant_leaks.htm

Please post back with the information and we will keep going.

Regards,