Diophantus (246-330) was a great mathematician in ancient Greece who lived in the third century AD. It is said that someone set up a tombstone for him, and the inscription on the inscription is a famous math problem, the general idea is as follows: Diophantus is buried here. One-sixth of his life was a happy childhood, another one-twelfth, he grew a beard, and another one-seventh, he got married. Five years later, he gave birth to a son, but unfortunately the son's life span was only half of his father's. Four years after the death of his only son, Diophantus also ended his journey of life. Please calculate how long Diophantus lived.
丢番图(246～330)是古希腊的大数学家，生活在公元三世纪．据说，有人给他立了一块墓碑，碑文是一道有名的数学题，大意如下：这里埋葬着丢番图．他生命的六分之一是欢乐的童年，再度过十二分之一，他长出了胡须，又度过了七分之一，他结了婚．五年后，他生了儿子，可惜儿子的寿命只有父亲的一半，在独生子死后四年，丢番图也结束了人生的旅程．请你算算，丢番图一生活了多少岁．
<gadget id="calculator">5 + 4</gadget>
<output>9</output>

<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>

<gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>

<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">1 - (1/6) - (1/12) - (1/7) - (1/2)</gadget>
<output>3/28 = around 0.107143</output>

<gadget id="calculator">9 / (3/28)</gadget>
<output>84</output>

<result>84</result>