<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 If a car has two front tires with a diameter of 10 inches, and two rear tires with a diameter of 12 inches, what is the least common multiple of the total number of revolutions made by each set of tires when the car travels 1/2 mile? Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
5040
If a car has two front tires with a diameter of 10 inches, and two rear tires with a diameter of 12 inches, what is the least common multiple of the total number of revolutions made by each set of tires when the car travels 1/2 mile?
test