This work explores the strange quark stars under the Kuchowicz metric function utilizing the MIT Bag equation of state (EoS) in the context of modified \(f(R,L_{m},T)\) gravitational theory approach. This metric potential is regular and physically plausible. By matching the interior spacetime of the strange star to the exterior Schwarzschild spacetime, we have derived the correct form of the metric potentials. Our analysis includes findings from analytical and numerical approaches which encompasses various physical properties including energy conditions, EoS which are seen to be met within the stellar interior. To account for the stability we have considered the study of adiabetic index, surface redshift and the speed of sound with favourable outcomes. We have also shown that values of the model parameter values have significant influence on all these aspects. Thus, in \(f(R,L_{m},T)\) gravity, our stellar model shows promising results by adhering to the energy conditions, EoS bounds and within the stability range of surface redshift, adiabetic index and speed of sound analysis.