There are some digital cards in the box, these cards are all multiples of 2 or 3, among which multiples of 2 account for (3/5), multiples of 3 account for (4/7), and there are exactly 6 cards with multiples of 6. How many digital cards are there in total?
盒子里放了一些数字卡片，这些卡片都是2或3的倍数，其中2的倍数占(3/5)，3的倍数占(4/7)，6的倍数的卡片恰有6张，这些数字卡片共有多少张？
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>

<gadget id="calculator">4 / 7</gadget>
<output>4/7 = around 0.571429</output>

<gadget id="calculator">(4/7) - 1</gadget>
<output>-3/7 = around -0.428571</output>

<gadget id="calculator">(3/5) + (-3/7)</gadget>
<output>6/35 = around 0.171429</output>

<gadget id="calculator">6 / (6/35)</gadget>
<output>35</output>

<result>35</result>