Let a, b, c, d be positive integers. If \(\frac{1}{{{\rm{a}}\,{\rm{ + }}\,\frac{1}{{{\rm{b}}\,{\rm{ + }}\frac{1}{{{\rm{c}}\,{\rm{ + }}\,\frac{1}{{\rm{d}}}}}}}}} = \,\,\frac{{17}}{{60}}\) then what is the product of a, b, c, d?

1
24
2
51
3
68
4
102

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