Find Least Common Multiple of 286, 265, 165 and 200 using division method..

Answer

LCM( 286, 265, 165, 200 ) = 4547400

Explanation

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

286

265

165

200

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	286	265	165	200
	143	265	165	100

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

2	286	265	165	200
2	143	265	165	100
2	143	265	165	50
3	143	265	165	25
5	143	265	55	25
5	143	53	11	5
11	143	53	11	1
13	13	53	1	1
53	1	53	1	1
	1	1	1	1

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

LCM( 286, 265, 165, 200 ) = 2 · 2 · 2 · 3 · 5 · 5 · 11 · 13 · 53 = 4547400 .

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2	286	265	165	200
2	143	265	165	100
2	143	265	165	50
3	143	265	165	25
5	143	265	55	25
5	143	53	11	5
11	143	53	11	1
13	13	53	1	1
53	1	53	1	1
	1	1	1	1

2	286	265	165	200
2	143	265	165	100
2	143	265	165	50
3	143	265	165	25
5	143	265	55	25
5	143	53	11	5
11	143	53	11	1
13	13	53	1	1
53	1	53	1	1
	1	1	1	1

2	286	265	165	200
2	143	265	165	100
2	143	265	165	50
3	143	265	165	25
5	143	265	55	25
5	143	53	11	5
11	143	53	11	1
13	13	53	1	1
53	1	53	1	1
	1	1	1	1