A mass flowmeter is provided which operates on the Coriolis principle, having (1) at least four measurement tubes which can oscillate and through which a medium can flow, (2) at least one oscillation generator for excitation of the oscillations of the measurement tube, and (3) at least one oscillation sensor for detection of the excited oscillations of the measurement tubes. The measurement tubes are preferably arranged closely in parallel such that the flow cross section covered by the measurement tubes covers as small an area as possible. The use of four or more compactly arranged measurement tubes advantageously allows for the measurement of a high mass flow rate with measurement tubes having a relatively small cross section and length, resulting in a mass flowmeter having compact length and width dimensions, and which requires only a relatively low energy oscillation generator for excitation of the oscillations of the measurement tubes.