If the least common multiple of three consecutive even numbers is 1008, what is the sum of these three natural numbers?
若三个连续偶数的最小公倍数是1008，则这三个自然数的和是多少．
<gadget id="calculator">2 * 7</gadget>
<output>14</output>

<gadget id="calculator">3 * 3 * 2</gadget>
<output>18</output>

<gadget id="calculator">14 + 16 + 18</gadget>
<output>48</output>

<result>48</result>