Step 1 :Multiply the given numbers: \(-3 \cdot(-7) \cdot(-15) \cdot(-5)\)
Step 2 :Since there are four negative numbers, the result will be positive: \(3 \cdot 7 \cdot 15 \cdot 5\)
Step 3 :Calculate the result: \(3 \cdot 7 \cdot 15 \cdot 5 = 1575\)
Step 4 :\(\boxed{1575}\)