How many positive  cubes  divide $3!\cdot 5!\cdot 7!\,$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
How many positive  cubes  divide $3!\cdot 5!\cdot 7!\,$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
6
How many positive  cubes  divide $3!\cdot 5!\cdot 7!\,$?
train