Magic wavelengths for optical clock transitions in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mmultiscripts> <mml:mi>Rb</mml:mi> <mml:mprescripts/> <mml:none/> <mml:mn>85</mml:mn> </mml:mmultiscripts> </mml:math> , <mml:math xmlns

Neutral atom manipulation along with the modern laser cooling and trapping techniques have revolutionized the field of atomic physics, enabling innovation among atomic clocks as well as in the study of parity violation and the search for electron electric-dipole moment and nuclear anapole moment. The realization of highly precise and accurate atomic clocks evidently requires high signal-to-noise ratio, which is inversely proportional to Allan deviation. Keeping this in mind, we have calculated magic wavelengths $({\ensuremath{\lambda}}_{\mathrm{magic}})$ for optical clock transitions in $^{85}\mathrm{Rb}$, $^{133}\mathrm{Cs}$, and $^{223}\mathrm{Fr}$ atoms, viz, $5{S}_{1/2}\text{\ensuremath{-}}6{P}_{1/2,3/2}$, $6{S}_{1/2}\text{\ensuremath{-}}7{P}_{1/2,3/2}$, and $7{S}_{1/2}\text{\ensuremath{-}}8{P}_{1/2,3/2}$, respectively, particularly in the visible-near-infrared spectrum, owing to the fact that Allan deviation rapidly decreases with higher wavelengths of the electromagnetic spectrum, making them more acceptable for newer navigation systems, quantum computation devices as well as tools for high-precision experiments. In this study, we also recommend investigating near-resonant ${\ensuremath{\lambda}}_{\mathrm{magic}}$ for $^{85}\mathrm{Rb}$ [420.81(2), $418.21(4),421.390(4)$, and 417.67 nm] and $^{133}\mathrm{Cs}$ [458.84(4) nm], utilizing dual-purpose lasers of $\ensuremath{\approx}420$ nm and $\ensuremath{\approx}459$ nm for cooling and pumping of atoms for four-level active optical clock system based on Rb and Cs frequency standards, respectively. We believe that these findings will aid in overcoming trapping challenges for atomic clocks as well as support studies for physics beyond the standard model.