The sum of the squares of three consecutive positive even numbers is $12296$. Find the product of the three numbers divided by $8$.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
The sum of the squares of three consecutive positive even numbers is $12296$. Find the product of the three numbers divided by $8$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
32736
The sum of the squares of three consecutive positive even numbers is $12296$. Find the product of the three numbers divided by $8$.
train