MOST oil leaks that only leak a few spots on the floor, are usually caused by loose oil pan bolts. Check them, but dont strip them!!!
After that, you'll likely want to check the oil pan gasket, then the engine crankshaft bearings and so-on and so-forth... Start with the oil pan.
Degrease the underside of the car, so you can watch where the fresh oil leaks from. It'll be pretty apparent within a week or so where the leak is.
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