A machine tool factory completed the annual production tasks in the first half of the year (5/8), and completed the annual tasks in the second half of the year (7/12), resulting in an overproduction of 150 units. How many machine tools were originally planned to be produced in a year?
某机床厂，上半年完成全年生产任务的(5/8)，下半年完成全年任务的(7/12)，结果超产150台．原计划全年生产多少台机床？
<gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>

<gadget id="calculator">7 / 12</gadget>
<output>7/12 = around 0.583333</output>

<gadget id="calculator">(7/12) - 1</gadget>
<output>-5/12 = around -0.416667</output>

<gadget id="calculator">(5/8) + (-5/12)</gadget>
<output>5/24 = around 0.208333</output>

<gadget id="calculator">150 / (5/24)</gadget>
<output>720</output>

<result>720</result>