PHOTO: Mr. Jonas and Ms. Turner. Their home is roughly 15,000 square feet with 10 bedrooms, 14 bathrooms, a wine cellar, a home theater, a gym and an office.Jordan Strauss/Invision/Associat

Nick and Joe Jonas, the Jonas Brothers musicians whose profiles have only grown since their marriages to actresses Priyanka Chopra and Sophie Turner, are breaking real-estate records by spending a combined $34.1 million in Encino, an upscale area of the San Fernando Valley in Los Angeles.

The two pairs—Nick Jonas is married to Ms. Chopra, a highly popular Indian actress, while Joe Jonas is married to Ms. Turner, a British actress best known for her role on “Game of Thrones”—have purchased two properties 3 miles from each other.