This study examined the ability of two series of ternary phosphate and borate glass systems, with the compositions and , to reduce the intensity of neutron, gamma radiation, and charged particles. The study methodically manipulated the amount of nanoscale PbO in each glass sample, leading to densities that ranged from 3.675 to 6.650 g.cm^-3 for borate glasses and 3.177 to 4.845 g.cm-3 for phosphate glasses. The Phy-X/PSD program was utilized to compute nine parameters related to gamma ray shielding. The SRIM Monte Carlo algorithm was used to calculate the ranges of H+, He2+, Au+, and C4+ ions at specific energies ranging from 0.01 to 20 MeV. The ESTAR NIST software was used to calculate the Total Stopping Power (TSP) and range (R) values for electron interactions at specific electron energies ranging from 0.01 to 1000 MeV. The Fast Neutron Removal Cross-Section (FNRCS) at 4.5 MeV and the macroscopic effective removal cross-section (MRCs) were estimated using Phy-X/PSD and MRCsC software, respectively. The findings revealed that the shielding capabilities of these two glass systems were predominantly affected by their chemical composition and densities. Significantly, the addition of 70% PbO in borate glass systems and 50% PbO in phosphate glass systems greatly improved their capacity to protect against gamma radiation, neutrons, electrons, and charged ions. This work offers significant insights into the potential of these two glass systems for applications that demand efficient radiation shielding, such as in the fields of nuclear medicine, radiation treatment, and spacecraft architecture. The results indicate that by adjusting the PbO concentration and glass composition, the effectiveness of their shielding may be optimized for certain uses.