Well asterisk which is used in linuxmce can support the recieving of faxes and converting them into emails if the incoming trunk supports it.
I am not sure xactly how you would set this up though.
Asterisk's support of faxing (with regular - analog - fax machines) is notoriously unreliable over the Internet. It requires using a different protocol that must be supported by the telephony connection provider, and even then usually requires lots of extra (and expensive) software, like HylaFax - and still isn't 100% reliable.
It's probably better to embed a separate SW package that supports a dedicated Internet faxing service rather than route it through Asterisk. However, if the LMCE Asterisk is connected to the phone network over a non-Internet line (eg. POTS or TDM, possibly even ISDN), then it can be reliable without great expense and custom configuration/troubleshooting. Still, Asterisk+Fax is an arcane black art that usually doesn't work, except over a regular phoneline.