Factorials - Find the LCM of 6!, 7! and 8!

Question:

Find the LCM of 6!, 7! and 8!

Solution:

Step 1: Simplify the factorials using the property n! = n x (n - 1)!

8! = 8 x 7!

8! = 8 x 7 x 6!

7! = 7 x 6!

6!

Step 2: Find the LCM.

LCM = 6! x 7 x 8

= 8 x 7 x 6!

= 8!

Answer:

LCM of 6!, 7! and 8! is 8!

Video Solution