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nearest prominent place is Thanjavur . From Thanjavur 40 km is there to Kumbakonam . you will get buses or local trains from Thanjavur to reach Kumbakonam .
From Coimbatore you can reach Kumbakonam by train and it will take around 6 hrs to reach .
Nearest airport is Thiruchirappally and is about 90 km away .
From Chennai around 280 km is there to Kumbakonam