Find Least Common Multiple of 284, 260, 360 and 480 using division method..

Answer

LCM( 284, 260, 360, 480 ) = 1329120

Explanation

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

284

260

360

480

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	260	360	480
	142	130	180	240

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

2	284	260	360	480
2	142	130	180	240
2	71	65	90	120
2	71	65	45	60
2	71	65	45	30
3	71	65	45	15
3	71	65	15	5
5	71	65	5	5
13	71	13	1	1
71	71	1	1	1
	1	1	1	1

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

LCM( 284, 260, 360, 480 ) = 2 · 2 · 2 · 2 · 2 · 3 · 3 · 5 · 13 · 71 = 1329120 .

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2	284	260	360	480
2	142	130	180	240
2	71	65	90	120
2	71	65	45	60
2	71	65	45	30
3	71	65	45	15
3	71	65	15	5
5	71	65	5	5
13	71	13	1	1
71	71	1	1	1
	1	1	1	1

2	284	260	360	480
2	142	130	180	240
2	71	65	90	120
2	71	65	45	60
2	71	65	45	30
3	71	65	45	15
3	71	65	15	5
5	71	65	5	5
13	71	13	1	1
71	71	1	1	1
	1	1	1	1

2	284	260	360	480
2	142	130	180	240
2	71	65	90	120
2	71	65	45	60
2	71	65	45	30
3	71	65	45	15
3	71	65	15	5
5	71	65	5	5
13	71	13	1	1
71	71	1	1	1
	1	1	1	1