The rotation behavior of the vector chirality kappa, scalar chirality chi, and magnetization M in the rotating magnetic field H-1 is considered for the V-3 and Cu-3 nanomagnets, in which the DzialoshinskyMoriya coupling is active. The polar rotation of the field H-1 of the given strength H-1 results in the energy spectrum characterized by different vector and scalar chiralities in the ground and excited states. The magnetochiral correlations between the vector and scalar chiralities, energy, and magnetization in the rotating field were considered. Under the uniform polar rotation of the field H-1, the ground-state chirality vector kappa(I) performs sawtooth oscillations and the magnetization vector MI performs the sawtooth oscillating rotation that is accompanied by the correlated transformation of the scalar chirality chi(I). This demonstrates the magnetochiral effect of the joint rotation behavior and simultaneous frustrations of the spin chiralities and magnetization in the rotating field, which are governed by the correlation between the chiralities and magnetization.