There are three cube blocks of different sizes, A, B, and C. The length of the side of A is (1/2) the length of the side of B, and the length of the side of B is (2/3) the length of the side of C. If A, B, and C are used to assemble a large cube with a volume as small as possible (at least one piece of each type is used). So how many pieces of these three kinds of wood pieces are needed at least.
有甲、乙、丙三种大小不同的正方体木块，其中甲的棱长是乙的棱长的(1/2)，乙的棱长是丙的棱长的(2/3)．如果用甲、乙、丙三种木块拼成一个体积尽可能小的大正方体(每种至少用一块)．那么最少需要这三种木块一共多少块．
<gadget id="calculator">3 + 2</gadget>
<output>5</output>

<gadget id="calculator">5 * 5 * 5</gadget>
<output>125</output>

<gadget id="calculator">3 * 3 * 3</gadget>
<output>27</output>

<gadget id="calculator">2 * 2 * 2 * 7</gadget>
<output>56</output>

<gadget id="calculator">125 - 27 - 56</gadget>
<output>42</output>

<gadget id="calculator">1 * 1 * 1</gadget>
<output>1</output>

<gadget id="calculator">42 + 1 + 7</gadget>
<output>50</output>

<result>50</result>