Find Least Common Multiple of 468, 864, 260 and 480 using division method..

Answer

LCM( 468, 864, 260, 480 ) = 56160

Explanation

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

468

864

260

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	468	864	260	480
	234	432	130	240

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

2	468	864	260	480
2	234	432	130	240
2	117	216	65	120
2	117	108	65	60
2	117	54	65	30
3	117	27	65	15
3	39	9	65	5
3	13	3	65	5
5	13	1	65	5
13	13	1	13	1
	1	1	1	1

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

LCM( 468, 864, 260, 480 ) = 2 · 2 · 2 · 2 · 2 · 3 · 3 · 3 · 5 · 13 = 56160 .

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2	468	864	260	480
2	234	432	130	240
2	117	216	65	120
2	117	108	65	60
2	117	54	65	30
3	117	27	65	15
3	39	9	65	5
3	13	3	65	5
5	13	1	65	5
13	13	1	13	1
	1	1	1	1

2	468	864	260	480
2	234	432	130	240
2	117	216	65	120
2	117	108	65	60
2	117	54	65	30
3	117	27	65	15
3	39	9	65	5
3	13	3	65	5
5	13	1	65	5
13	13	1	13	1
	1	1	1	1

2	468	864	260	480
2	234	432	130	240
2	117	216	65	120
2	117	108	65	60
2	117	54	65	30
3	117	27	65	15
3	39	9	65	5
3	13	3	65	5
5	13	1	65	5
13	13	1	13	1
	1	1	1	1