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