Find Least Common Multiple of 84, 66, 96 and 80 using division method..

Answer

LCM( 84, 66, 96, 80 ) = 36960

Explanation

Step 1 : Write the given numbers in a horizontal line.

Step 2 : Divide the given numbers by smallest prime number. In this example we can divide by 2.

(if any number is not divisible by 2, write it down unchanged)

2	84	66	96	80
	42	33	48	40

Step 3 : Continue dividing by prime numbers till we get 1 in all columns.

2	84	66	96	80
2	42	33	48	40
2	21	33	24	20
2	21	33	12	10
2	21	33	6	5
3	21	33	3	5
5	7	11	1	5
7	7	11	1	1
11	1	11	1	1
	1	1	1	1

Step 4 : Multiply numbers in first column to get LCM.

LCM( 84, 66, 96, 80 ) = 2 · 2 · 2 · 2 · 2 · 3 · 5 · 7 · 11 = 36960 .

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2	84	66	96	80
2	42	33	48	40
2	21	33	24	20
2	21	33	12	10
2	21	33	6	5
3	21	33	3	5
5	7	11	1	5
7	7	11	1	1
11	1	11	1	1
	1	1	1	1

2	84	66	96	80
2	42	33	48	40
2	21	33	24	20
2	21	33	12	10
2	21	33	6	5
3	21	33	3	5
5	7	11	1	5
7	7	11	1	1
11	1	11	1	1
	1	1	1	1

2	84	66	96	80
2	42	33	48	40
2	21	33	24	20
2	21	33	12	10
2	21	33	6	5
3	21	33	3	5
5	7	11	1	5
7	7	11	1	1
11	1	11	1	1
	1	1	1	1