What is the volume, in cubic centimeters, of a right rectangular prism with all integer edge lengths, and faces having areas of $30, 180$ and $24$ square centimeters?
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<|im_start|>user
What is the volume, in cubic centimeters, of a right rectangular prism with all integer edge lengths, and faces having areas of $30, 180$ and $24$ square centimeters?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
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360
What is the volume, in cubic centimeters, of a right rectangular prism with all integer edge lengths, and faces having areas of $30, 180$ and $24$ square centimeters?
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