Uncle Liu raised more than 400 rabbits. If every 3 rabbits are kept in a cage, then there will be 2 rabbits in the last cage; if every 5 rabbits are kept in a cage, then there will be 4 rabbits in the last cage; if For every 7 rabbits in a cage, there are 6 rabbits in the last cage. May I ask: How many rabbits did Uncle Liu raise in total?
刘叔叔养了400多只兔子，如果每3只兔子关在一个笼子里，那么最后一个笼子里有2只；如果每5只兔子关在一个笼子里，那么最后一个笼子里有4只；如果每7只兔子关在一个笼子里，那么最后一个笼子里有6只．请问：刘叔叔一共养了多少只兔子？
<gadget id="calculator">3 * 5 * 7</gadget>
<output>105</output>

<gadget id="calculator">105 * 4</gadget>
<output>420</output>

<gadget id="calculator">420 - 1</gadget>
<output>419</output>

<result>419</result>