Established in the 1930s in Mandeure (Doubs)
The company marketed machines built by Griffon, Christophe, Aiglon, Meteore and others, often rebadged as their own and with "France Motor Cycles" on the ID plate. The idea was to identify the machines as distinctly French to facilitate sales in English-speaking countries, where frequently anything French was considered favourably.
Trophée de France was another marque in the stable.
Griffon model designations were changed from first numeral 1 to 5, ie Griffon Type 176 = FMC Type 576
Meteore types were changed from 1 to 6, so Meteore type 176 becomes FMC type 676.
FMC engines were used by Aiglon, Trophee de France, Meteore and Griffon. It is possible that these engines were built by another company and rebranded by FMC.
Sources: petochonsdulion.net, lva-moto.fr