A flow measurement system includes two or more flow sensors that may operate simultaneously and a plurality of connected flow paths for flow of fluids. Each flow sensor is positioned along a different flow path of the plurality of connected flow paths and includes at least one flow tube and a support that clamps the flow tube. The flow tube of each flow sensor has a different resonant frequency so that cross-talk between the flow sensors can be reduced or eliminated. In some embodiments, the flow tube of each flow sensor has a different tube length, wall thickness, material, and/or weight. The flow measurement system can also include one or more pumps for pumping fluid into the flow sensors and a dampener arranged between a pump and a corresponding flow sensor for mitigating interference on the flow sensor from operation of the pump.