As Diane Kipp mentioned, while Latter-day Saints don't have many set prayers, we pray frequently throughout each day: as families, as individuals, in groups, before meals, out loud or in our hearts.
For a different perspective on prayer, I love what Doctrine and Covenants 25:12 says: “For my soul delighteth in the song of the heart; yea, the song of the righteous is a prayer unto me, and it shall be answered with a blessing upon their heads.”
Beautiful music feels like prayer to me, particularly hymns like When I Survey the Wondrous Cross, The King of Love My Shepherd Is, The Spirit of God, Come Ye Disconsolate, or classical music like Haydn's oratorio The Creation, or Bach's St. Matthew's Passion. Music that praises God helps me feel closer to God, and that's what prayer is supposed to do, too.