Conductance of the edge modes and conductance across the copropagating edge modes around the ν =4 /3 , 5/3, and 2 quantum Hall states are measured by individually exciting the modes. Temperature-dependent equilibration rates of the outer unity conductance edge mode are presented for different filling fractions. We find that the equilibration rate of the outer unity conductance mode at ν =2 is higher and more temperature sensitive compared to the modes at fractional fillings 5/3 and 4/3. At the lowest temperature, the equilibration length of the outer unity conductance mode tends to saturate with the lowering filling fraction ν by increasing the magnetic field B . We speculate this saturating nature of the equilibration length is arising from an interplay of the Coulomb correlation and spin orthogonality.