Beverley, who had a total of 20 points in the last three Razorbacks games, made four field goals, all 3-pointers. Gary Ervin had 10 points and five assists for the Razorbacks (14-5, 3-2 Southeastern Conference).
LSU hit only 29 percent of its field goal attempts as it lost its eighth game in a row and lost its first five SEC games for the first time since 1972.
The Tigers led briefly. But Weems' first 3-pointers put the Razorbacks ahead, 6-5, and started a 12-0 run which Beverley completed with another 3-point shot.
After a basket by Randolph, a field goal by Weems put Arkansas ahead 17-7. The Razorbacks led by at least 10 points for the rest of the half, which ended 39-22.
Thornton scored eight points in a 12-3 surge as the second half opened, but Arkansas stopped it with the score 42-34.