If $x=720$ and $ax$ is a perfect cube where $a$ is a positive integer, what is the smallest possible value of $\sqrt[3]{ax}$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
If $x=720$ and $ax$ is a perfect cube where $a$ is a positive integer, what is the smallest possible value of $\sqrt[3]{ax}$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
60
If $x=720$ and $ax$ is a perfect cube where $a$ is a positive integer, what is the smallest possible value of $\sqrt[3]{ax}$?
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