Will a fax machine work on a normal telephone line that has LLU on it?

Cheers

Should be fine, the fax machine uses the voice part of the spectrum, not data.

B

Yes, as per above, the fax machine like a normal dial-up modem or Sky box modem uses the voice part of the phone line.

Like phones, dial-up modems and Sky boxes you'll need to plug the fax machine into the voice segment of your broadband filter.