4. If several rectangular prisms with edge lengths of $2,3,5$ are arranged in the same direction to form a cube with an edge length of 90, then the number of small rectangular prisms that a diagonal of the cube passes through is ().
A. 64
B. 66
C. 68
D. 70
4. B
$[2,3,5]=30$, so we only need to find the number of rectangular prisms a diagonal of a cube with edge length 30 passes through, $S=\frac{30}{2}+\frac{30}{3}+\frac{30}{5}-\frac{30}{2 \times 3}-\frac{30}{3 \times 5}-\frac{30}{S \times 2}+\frac{30}{2 \times 3 \times 5}=22$, the number of small rectangular prisms a diagonal of a cube with edge length 90 passes through is $3 S$, which is 66, choose B.