The calculated distance (air line) between Fontaines-sur-Saône and Limoges is approximately 173 miles respectively 279 kilometers.
By car or train, the actual journey to Limoges is certainly longer, as only the direct route (as the crow flies) between Fontaines-sur-Saône and Limoges has been calculated here.
Air line (approximately)
279 kilometers
150 nautical miles