The calculated distance (air line) between Limburg an der Lahn and Nürnberg is approximately 149 miles respectively 240 kilometers.
By car or train, the actual journey to Nürnberg is certainly longer, as only the direct route (as the crow flies) between Limburg an der Lahn and Nürnberg has been calculated here.
Air line (approximately)
240 kilometers
130 nautical miles