find the lcm of (n)!,(n+1)!, and (n-1)!

 To find the L.C.M. of factorials is sooo simple 

the biggest factorial no. from them is the LCM as it contain the smaller factorail no. in itself

for example:  7!=7*6*5*4*3*2*1

          and    5!=5*4*3*2*1

                                                         here,  * = sign of  multiplying

here, we can se 7! contain 5! and hence 7! is divided by 5! 

hence lcm is 7!  which is bigger one

IN YOUR QOESTION 

 (n+1) is biggest no. therefore the lcm of 

n!   and   (n-1)!   and    (n+1)!   is 

(n+1)!