A recent PRL on quantum metrology (DOI: 10.1103/PhysRevLett.119.130504), written by Animesh and external collaborators, has been selected as an Editor's Suggestion. The quantum Cramér-Rao bound is a lower bound on the attainable precision when estimating unknown properties of or parameters encoded in a quantum state. When estimating multiple parameters, it is not necessarily physically possible to construct an experiment capable of reaching the precision given by the quantum Cramér-Rao bound. In the letter they discuss the existence of a measurement which can be used to reach the precision of the quantum Cramér-Rao bound. Focusing on pure states being used to estimate a set of phases, a number of necessary and sufficient conditions are derived which projective measurements must satisfy in order to obtain the best possible precision.