Briggs & Stratton recommends using SAE 30, 10W-30, 5W-30 or synthetic 5W-30 for their engines. The company offers a line of engine oils, including Briggs & Stratton Lawn Mower Oil, specifically for use with their engines.il Capacity. The oil capacity of the Briggs & Stratton 4.50 foot-pounds gross torque engine is 20 ounces. Adding too much oil, according Briggs and Stratton, can cause engine damage.