The calculated distance (air line) between Châteauneuf-sur-Loire and Limoges is approximately 148 miles respectively 238 kilometers.
By car or train, the actual journey to Limoges is certainly longer, as only the direct route (as the crow flies) between Châteauneuf-sur-Loire and Limoges has been calculated here.
Air line (approximately)
238 kilometers
128 nautical miles