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Q.

The LCM of (6!,7!,8!) is:

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a

b

6!

c

5!

d

9!

answer is A.

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Detailed Solution

Concept: The least common multiple, or LCM. Each number may be used to divide the LCM of three numbers. Find the values of factorials 6, 7, and 8 in this case, then their LCM.
LCM of

and 8!):

Therefore,

and

can be rewritten as:

LCM of

and

LCM

Hence, option 1 is correct.

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The LCM of (6!,7!,8!) is: