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Given that $a_1,a_2,a_3,a_4 > 0$, find the maximum constant $N$ for which the following inequality always holds true:

$\frac{a_1a_2(a_3^2+a_4^2)+a_3a_4(a_1^2+a_2^2)}{a_1a_2a_3a_4} \geq N.$

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