If $A=\{3, 5, 7, 9, 11\}$,$B=\{7, 9, 11, 13\}$,$C=\{11, 13, 15\}$,and $D=\{15, 17\}$; find $(A \cup D) \cap (B \cup C)$.
- A$\{7, 9, 11, 15\}$
- B$\{3, 5, 7, 9, 11\}$
- C$\{11, 13, 15\}$
- D$\{7, 9, 11, 13\}$
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