Find Least Common Multiple of 260, 780, 640 and 320 using division method..

Answer

LCM( 260, 780, 640, 320 ) = 24960

Explanation

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

260

780

640

320

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	260	780	640	320
	130	390	320	160

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

2	260	780	640	320
2	130	390	320	160
2	65	195	160	80
2	65	195	80	40
2	65	195	40	20
2	65	195	20	10
2	65	195	10	5
3	65	195	5	5
5	65	65	5	5
13	13	13	1	1
	1	1	1	1

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

LCM( 260, 780, 640, 320 ) = 2 · 2 · 2 · 2 · 2 · 2 · 2 · 3 · 5 · 13 = 24960 .

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2	260	780	640	320
2	130	390	320	160
2	65	195	160	80
2	65	195	80	40
2	65	195	40	20
2	65	195	20	10
2	65	195	10	5
3	65	195	5	5
5	65	65	5	5
13	13	13	1	1
	1	1	1	1

2	260	780	640	320
2	130	390	320	160
2	65	195	160	80
2	65	195	80	40
2	65	195	40	20
2	65	195	20	10
2	65	195	10	5
3	65	195	5	5
5	65	65	5	5
13	13	13	1	1
	1	1	1	1

2	260	780	640	320
2	130	390	320	160
2	65	195	160	80
2	65	195	80	40
2	65	195	40	20
2	65	195	20	10
2	65	195	10	5
3	65	195	5	5
5	65	65	5	5
13	13	13	1	1
	1	1	1	1