At \(25^\circ C\), the molar conductances at infinite dilution for the strong electrolytes NaOH, NaCl and BaCl\(_2\) are \(248\times 10^{-4}\), \(126\times 10^{-4}\) and \(280\times 10^{-4}\,S\,m^2\,mol^{-1}\) respectively. \(\lambda_m^\circ\) of \(Ba(OH)_2\) in \(S\,m^2\,mol^{-1}\) is