Observations of the Cabibbo-Suppressed decays $Λ^{+}_{c}$ → $\mathcal{n}$$π$ + $π$ 0 , $\mathcal{n}$$π$ + $π$ - $π$ + and the Cabibbo-Favored decay $Λ^{+}_{c}$ → $\mathcal{n}$$K$ - $π$ + $π$ + *
Using electron-positron annihilation data samples corresponding to an integrated luminosity of 4.5 fb -1 , collected by the BESIII detector in the energy region between $4599.53$ $MeV$ and $4698.82$ $MeV$ we report the first observations of the Cabibbo-suppressed decays $Λ^{+}_{c}$ → $\mathcal{n}$$π$ + $π$ 0 , $Λ^{+}_{c}$ → $\mathcal{n}$$π$ + $π$ - $π$ + , and the Cabibbo-favored decay $Λ^{+}_{c}$ → $\mathcal{n}$$K$ - $π$ + $π$ + with statistical significances of $7.9σ$, $7.8σ$, and Misplaced &, respectively. The branching fractions of these decays are measured to be $\mathcal{B}$($Λ^{+}_{c}$ → $\mathcal{n}$$π$ + $π$ 0 ) = ($0.64 ± 0.09 ± 0.02$)%, $\mathcal{B}$($Λ^{+}_{c}$ → $\mathcal{n}$$π$ + $π$ - $π$ + ) = ($0.45 ± 0.07 ± 0.03$)%, and $\mathcal{B}$ $Λ^{+}_{c}$ → $\mathcal{n}$$K$ - $π$ + $π$ + ) = ($1.90 ± 0.08 ± 0.09$)% where the first uncertainties are statistical and the second are systematic. We find that the branching fraction of the decay $Λ^{+}_{c}$ → $\mathcal{n}$$π$ + $π$ 0 is about one order of magnitude higher than that of $Λ^{+}_{c}$ → $\mathcal{n}$ $π$ + .