Find Least Common Multiple of 284, 360, 165 and 200 using division method..

Answer

LCM( 284, 360, 165, 200 ) = 1405800

Explanation

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

284

360

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	284	360	165	200
	142	180	165	100

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

2	284	360	165	200
2	142	180	165	100
2	71	90	165	50
3	71	45	165	25
3	71	15	55	25
5	71	5	55	25
5	71	1	11	5
11	71	1	11	1
71	71	1	1	1
	1	1	1	1

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

LCM( 284, 360, 165, 200 ) = 2 · 2 · 2 · 3 · 3 · 5 · 5 · 11 · 71 = 1405800 .

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2	284	360	165	200
2	142	180	165	100
2	71	90	165	50
3	71	45	165	25
3	71	15	55	25
5	71	5	55	25
5	71	1	11	5
11	71	1	11	1
71	71	1	1	1
	1	1	1	1

2	284	360	165	200
2	142	180	165	100
2	71	90	165	50
3	71	45	165	25
3	71	15	55	25
5	71	5	55	25
5	71	1	11	5
11	71	1	11	1
71	71	1	1	1
	1	1	1	1

2	284	360	165	200
2	142	180	165	100
2	71	90	165	50
3	71	45	165	25
3	71	15	55	25
5	71	5	55	25
5	71	1	11	5
11	71	1	11	1
71	71	1	1	1
	1	1	1	1