[en] We construct multiskyrmion fields of the SU(N) Skyrme models by using harmonic maps of S² to the Grassmannian Gr(2,N), which we express in terms of rank-2 projectors. Within this construction we derive some approximate spherically symmetric solutions of SU(N) Skyrme models and show that their energies are marginally higher than those for the rank-one cases. We also discuss the possibility of generating exact spherically symmetric solutions using this construction. In particular, we present arguments which suggest that the only solutions obtained in this way are embeddings