Three consecutive positive prime numbers have a sum that is a multiple of 7. What is the least possible sum?
<|im_start|>system
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<|im_start|>user
Three consecutive positive prime numbers have a sum that is a multiple of 7. What is the least possible sum?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

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Three consecutive positive prime numbers have a sum that is a multiple of 7. What is the least possible sum?
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