Liza is a math teacher. She wrote three consecutive even numbers on the board. She then multiplied the first by 2, the second by 3 and the third by four. Finally she added all the numbers and got the sum as 394. What was the smallest number she wrote ?

Question

$\begin{array}{1 1} (a)\; 24 \\ (b)\; 28 \\ (c)\; 30 \\ (d)\; 32 \end{array}$