Find Least Common Multiple of 468, 864, 240 and 480 using division method..

Answer

LCM( 468, 864, 240, 480 ) = 56160

Explanation

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

468

864

240

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	240	480
	234	432	120	240

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

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

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

LCM( 468, 864, 240, 480 ) = 2 · 2 · 2 · 2 · 2 · 3 · 3 · 3 · 5 · 13 = 56160 .

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

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

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