Without knowing the model it is impossible to say precisely. The company was founded in 1854, so anytime between then and now is valid.
Check the butt.
No serial number provided. Serial # 426742
1980
No such serial number in Smith and Wesson data.
You can not tell the model number with just the serial number.
1974
1980
You will have to provide the serial number and a detailed description of the weapon.
Look on the butt of the revolver.
On the butt.
@1969
Impossible to answer without the serial number.