Find Least Common Multiple of 160, 188, 220 and 280 using division method..

Answer

LCM( 160, 188, 220, 280 ) = 579040

Explanation

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

160

188

220

280

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	160	188	220	280
	80	94	110	140

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

2	160	188	220	280
2	80	94	110	140
2	40	47	55	70
2	20	47	55	35
2	10	47	55	35
5	5	47	55	35
7	1	47	11	7
11	1	47	11	1
47	1	47	1	1
	1	1	1	1

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

LCM( 160, 188, 220, 280 ) = 2 · 2 · 2 · 2 · 2 · 5 · 7 · 11 · 47 = 579040 .

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2	160	188	220	280
2	80	94	110	140
2	40	47	55	70
2	20	47	55	35
2	10	47	55	35
5	5	47	55	35
7	1	47	11	7
11	1	47	11	1
47	1	47	1	1
	1	1	1	1

2	160	188	220	280
2	80	94	110	140
2	40	47	55	70
2	20	47	55	35
2	10	47	55	35
5	5	47	55	35
7	1	47	11	7
11	1	47	11	1
47	1	47	1	1
	1	1	1	1

2	160	188	220	280
2	80	94	110	140
2	40	47	55	70
2	20	47	55	35
2	10	47	55	35
5	5	47	55	35
7	1	47	11	7
11	1	47	11	1
47	1	47	1	1
	1	1	1	1