effectively scatter phonons and suppress the lattice thermal conductivity. Additionally, the multicomponent alloy space comprises a largely uncharted compositional territory for thermoelectric materials. Several recent reviews discuss the potential benefits of these multinary alloys to thermoelectric performance given their potential for unique, entropy-enabled characteristics. [1][2][3] For example, in addition to the substantial lattice distortions mentioned previously, entropy-stabilization also favors high crystal symmetry, which can lead to high electronic band degeneracy, and regions of extended solubility, which can facilitate doping. Some recent experimental investigations of multinary alloys have given way to highly alloyed phases which substantially out-perform end-member compounds. Androulakis et al. [4] demonstrated that the large lattice mismatch and strain effects in Pb 1−x Sn x Te-PbS alloys lead to the formation of phase boundaries with nanoscale separation that scatter phonons and produce an over 70% reduction in lattice thermal conductivity relative to PbTe. In other instances, large electronic bandstructure changes in the multinary alloy space can produce peaks in thermoelectric performance, resulting, for example, from the convergence of electronic bands or opening of a band gap. [5,6] Interest in high entropy alloy thermoelectric materials is predicated on achieving ultralow lattice thermal conductivity κ L through large compositional disorder. However, here it is shown that for a given mechanism, such as mass contrast phonon scattering, κ L will be minimized along the binary alloy with highest mass contrast, such that adding an intermediate mass atom to increase atomic disorder can increase thermal conductivity. Only when each component adds an independent scattering mechanism (such as adding strain fluctuation to an existing mass fluctuation) is there a benefit. In addition, both charge carriers and heat-carrying phonons are known to experience scattering due to alloying effects, leading to a trade-off in thermoelectric performance. Analytic transport models are applied, based on perturbation and effective medium theories, to predict how alloy scattering will affect the thermal and electronic transport across the full compositional range of several pseudo-ternary and pseudo-quaternary alloy systems. To do so, a multicomponent extension is demonstrated to both thermal and electronic binary alloy scattering models based on the virtual crystal approximation. Finally, it is shown that common functional forms used in computational thermodynamics can be applied to this problem to further generalize the scattering behavior that is modeled.The ORCID identification number(s) for the author(s) of this article can be found under https://doi.org/10.1002/aelm.202200327.