Andrew M. answered • 04/17/17

Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors

Andrew M.

04/17/17

Shivanand C.

04/17/17

Shivanand C.

asked • 04/17/17LCM of 4! 5! 6!

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Andrew M. answered • 04/17/17

Tutor

New to Wyzant
Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors

LCM of 4! 5! 6!

6! = 6(5!) = 6(5)(4!)

The smallest thing all 3 divide into is

6! which is 720

Andrew M.

The Lowest Common Multiple, by definition,

is the smallest number that each numberin

question will divide into. As Patrick said, look

the largest number in question, list a few multiples...

Do so until you find the first one the smaller

numbers will divide into.

Example: Find LCM of 12 and 15.

Multiples of 15: 15, 30, 45, 60

Multiples of 12: 12, 24, 36, 48, 60

LCM = 60

That is the smallest. umber that both12 and 15

divide into evenly.

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04/17/17

Shivanand C.

Ohhh!! I got it.

Thankx

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04/17/17

Patrick D. answered • 04/17/17

Tutor

5
(10)
Patrick the Math Doctor

720

Explanation:

How to find LCM:

step 1: list multiples of the largest

step 2: find the first multiple in the list that divides by the other numbers

repeat steps 1-2 as needed.

Ex. LCM( 2,3,5)

multiples of 5: 5,10,15,20,25,30,35,40,45,50,....

30 divides by 2 and 3

LCM(2,3,4,6)

multiples of 6: 6,12,18,24,30,36,....

12 divides by 2,3 and 4

Now back to this problem:

4!=24, 5!=120 and 6!=720

LCM (24,120,720)

starting by listing multiples of 720: 720x1=720 ,720x2=1440, 720x3 = 2160,....

Find the first one of these that divides by 24 and 120...

720

Andrew M.

Thanks Patrick. :-)

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04/17/17

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Shivanand C.

04/17/17