365!/348! పరిష్కరించండి

$$\frac{ 365 ! }{ 348 ! }$$

మూల్యాంకనం చేయండి

$$24812150535979326027436183639253104435200000$$

పరిష్కారం దశలు

365 యొక్క క్రమ గణితము 25104128675558732292929443748812027705165520269876079766872595193901106138220937419666018009000254169376172314360982328660708071123369979853445367910653872383599704355532740937678091491429440864316046925074510134847025546014098005907965541041195496105311886173373435145517193282760847755882291690213539123479186274701519396808504940722607033001246328398800550487427999876690416973437861078185344667966871511049653888130136836199010529180056125844549488648617682915826347564148990984138067809999604687488146734837340699359838791124995957584538873616661533093253551256845056046388738129702951381151861413688922986510005440943943014699244112555755279140760492764253740250410391056421979003289600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{25104128675558732292929443748812027705165520269876079766872595193901106138220937419666018009000254169376172314360982328660708071123369979853445367910653872383599704355532740937678091491429440864316046925074510134847025546014098005907965541041195496105311886173373435145517193282760847755882291690213539123479186274701519396808504940722607033001246328398800550487427999876690416973437861078185344667966871511049653888130136836199010529180056125844549488648617682915826347564148990984138067809999604687488146734837340699359838791124995957584538873616661533093253551256845056046388738129702951381151861413688922986510005440943943014699244112555755279140760492764253740250410391056421979003289600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{348!}$$

348 యొక్క క్రమ గణితము 1011767546676617887960664754535787615428015341358325958898316252395358455648721360760823440810570433450196906340014421059760685729776807559925847023856652408264351581344700051858641586782280866580350687282727162522305771406502061357960217779869158936861112305669299839519655553684337102887487674909851521975068276660493938820247192861374449340562300403876046085675108929880166630692612093874299736773023487549292379734292985047347236804102982292877761657645171046361646773303337808388142714811364175494474962661093619102341018094524522732599036851128697549914337244254445176318287580659119213336647244492899558999003128800585488468853730315170425602048000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{25104128675558732292929443748812027705165520269876079766872595193901106138220937419666018009000254169376172314360982328660708071123369979853445367910653872383599704355532740937678091491429440864316046925074510134847025546014098005907965541041195496105311886173373435145517193282760847755882291690213539123479186274701519396808504940722607033001246328398800550487427999876690416973437861078185344667966871511049653888130136836199010529180056125844549488648617682915826347564148990984138067809999604687488146734837340699359838791124995957584538873616661533093253551256845056046388738129702951381151861413688922986510005440943943014699244112555755279140760492764253740250410391056421979003289600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{1011767546676617887960664754535787615428015341358325958898316252395358455648721360760823440810570433450196906340014421059760685729776807559925847023856652408264351581344700051858641586782280866580350687282727162522305771406502061357960217779869158936861112305669299839519655553684337102887487674909851521975068276660493938820247192861374449340562300403876046085675108929880166630692612093874299736773023487549292379734292985047347236804102982292877761657645171046361646773303337808388142714811364175494474962661093619102341018094524522732599036851128697549914337244254445176318287580659119213336647244492899558999003128800585488468853730315170425602048000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

25104128675558732292929443748812027705165520269876079766872595193901106138220937419666018009000254169376172314360982328660708071123369979853445367910653872383599704355532740937678091491429440864316046925074510134847025546014098005907965541041195496105311886173373435145517193282760847755882291690213539123479186274701519396808504940722607033001246328398800550487427999876690416973437861078185344667966871511049653888130136836199010529180056125844549488648617682915826347564148990984138067809999604687488146734837340699359838791124995957584538873616661533093253551256845056046388738129702951381151861413688922986510005440943943014699244112555755279140760492764253740250410391056421979003289600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000ని 1011767546676617887960664754535787615428015341358325958898316252395358455648721360760823440810570433450196906340014421059760685729776807559925847023856652408264351581344700051858641586782280866580350687282727162522305771406502061357960217779869158936861112305669299839519655553684337102887487674909851521975068276660493938820247192861374449340562300403876046085675108929880166630692612093874299736773023487549292379734292985047347236804102982292877761657645171046361646773303337808388142714811364175494474962661093619102341018094524522732599036851128697549914337244254445176318287580659119213336647244492899558999003128800585488468853730315170425602048000000000000000000000000000000000000000000000000000000000000000000000000000000000000తో భాగించి 24812150535979326027436183639253104435200000ని పొందండి.

$$24812150535979326027436183639253104435200000$$

లబ్ధమూలము

$$2^{16}\times 3^{8}\times 5^{5}\times 7^{3}\times 11^{3}\times 13^{2}\times 17\times 19^{2}\times 59\times 71\times 73\times 89\times 179\times 181\times 349\times 353\times 359$$