Lascivious means wanton, lewd, or demonstrating behavior that others may consider improper: “The lascivious actions of the dancing girl at the marriage party proved the young boys so much that many of them mounted the stage to dance with her.”
Licentious is demonstrating behavior that is considered immoral, illegal, and disregarding rules of a typical society; often with a sexual connotation: “Many politicians have been charged with licentious conduct in the recent years and courts have castigated them for their immoral and lewd overtures to women.”
Lust means to have a strong desire for something: “Lust for materialistic gains compels many people to indulge in nefarious and immoral activities.”