<|system|>
What is the greatest multiple of 3 that is less than 500 and is also a multiple of 4?</s>.
<|user|>
Can you answer based on context?
<|assistant|>
Since 3 and 4 are relatively prime, the problem amounts to finding the greatest multiple of $3\cdot4=12$ less than 500. Since $500\div12=41R8$, our answer is $12\cdot41=492$.