In a mathematics competition, (1/7) of the participating students won the first prize, (1/3) won the second prize, (1/2) won the third prize, and the rest won the commemorative prize. At least how many students participated in the competition classmate.
一次数学竞赛，结果参赛学生中(1/7)获一等奖，(1/3)获二等奖，(1/2)获三等奖，其余获纪念将，参加竞赛的至少有多少名同学．
<gadget id="calculator">7 * 3 * 2</gadget>
<output>42</output>

<result>42</result>