Find Least Common Multiple of 284, 364, 420 and 840 using division method..

Answer

LCM( 284, 364, 420, 840 ) = 775320

Explanation

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

284

364

420

840

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	364	420	840
	142	182	210	420

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

2	284	364	420	840
2	142	182	210	420
2	71	91	105	210
3	71	91	105	105
5	71	91	35	35
7	71	91	7	7
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, 364, 420, 840 ) = 2 · 2 · 2 · 3 · 5 · 7 · 13 · 71 = 775320 .

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2	284	364	420	840
2	142	182	210	420
2	71	91	105	210
3	71	91	105	105
5	71	91	35	35
7	71	91	7	7
13	71	13	1	1
71	71	1	1	1
	1	1	1	1

2	284	364	420	840
2	142	182	210	420
2	71	91	105	210
3	71	91	105	105
5	71	91	35	35
7	71	91	7	7
13	71	13	1	1
71	71	1	1	1
	1	1	1	1

2	284	364	420	840
2	142	182	210	420
2	71	91	105	210
3	71	91	105	105
5	71	91	35	35
7	71	91	7	7
13	71	13	1	1
71	71	1	1	1
	1	1	1	1