LCM of 3, 6, 2 and 4 is 12.
Converting the given numbers to equivalent rational numbers (having the same denominator), we get
−23 = −812
−96 = −1812
−52 = −3012
−34 = −912.
−3012<−1812<−912<−812
⇒−52<−96<−34<−23
Thus, the smallest out of the given rational numbers is −52.