How should 3 equivalent resistors be connected to obtain the least equivalent resistance?

To achieve the least equivalent resistance using three equivalent resistors, they should be connected in parallel. In a parallel configuration, the total or equivalent resistance is calculated using the formula ( R_{\text{eq}} = \frac{1}{\frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}} ). This arrangement reduces the overall resistance because the current has multiple paths to flow through, effectively decreasing the resistance compared to any series connection.