Suppose the number A has 9 different divisors, B has 6 different divisors, and C has 8 different divisors, and any two of these three numbers are not divisible by each other, then the minimum value of the product of the three numbers is How many.
设数A共有9个不同约数，B共有6个不同约数，C共有8个不同约数，这三个数中的任何两个都互不整除，则三个数之积的最小值是多少．
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>

<gadget id="calculator">3 ** 2</gadget>
<output>9</output>

<gadget id="calculator">4 * 9</gadget>
<output>36</output>

<gadget id="calculator">4 * 5</gadget>
<output>20</output>

<gadget id="calculator">2 * 3 * 4</gadget>
<output>24</output>

<gadget id="calculator">36 * 20 * 24</gadget>
<output>17_280</output>

<result>17_280</result>