The calculated distance (air line) between Caluire-et-Cuire and Montpellier is approximately 158 miles respectively 255 kilometers.
By car or train, the actual journey to Montpellier is certainly longer, as only the direct route (as the crow flies) between Caluire-et-Cuire and Montpellier has been calculated here.
Air line (approximately)
255 kilometers
137 nautical miles