# Is Brute Force the only way?

Algebra Level 3

$\large\dfrac{1}{20} + \dfrac{1}{30} + \dfrac{1}{42} + \dfrac{1}{56} + \dfrac{1}{72} + \dfrac{1}{90} = \dfrac{p}{q}$

If $$p$$ and $$q$$ are coprime positive integers satisfying the above equation, find the value of $$p+q$$.

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