If the ratio of two numbers is 4 ∶ 3 and the product of their LCM and their HCF is 432, then the sum of the reciprocals of the LCM and the HCF is:

1
\(\frac{{13}}{{72}}\)
2
\(\frac{{13}}{{27}}\)
3
\(\frac{{13}}{{2}}\)
4
\(\frac{{13}}{{7}}\)

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