Prove that LCM {6!, 7!, 8!} = 8!
To Prove : LCM {6!, 7!, 8!} = 8!
Formula :
LCM is the smallest possible number that is a multiple of two or more numbers.
Here, we observe that (8!) is the first number which is a multiple of all three given numbers i.e. 6!, 7! and 8!.
Therefore, 8! is the LCM of {6!, 7!, 8!}
Conclusion : Hence proved