Find Least Common Multiple of 160, 180, 230 and 140 using division method..

Answer

LCM( 160, 180, 230, 140 ) = 231840

Explanation

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

160

180

230

140

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	180	230	140
	80	90	115	70

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

2	160	180	230	140
2	80	90	115	70
2	40	45	115	35
2	20	45	115	35
2	10	45	115	35
3	5	45	115	35
3	5	15	115	35
5	5	5	115	35
7	1	1	23	7
23	1	1	23	1
	1	1	1	1

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

LCM( 160, 180, 230, 140 ) = 2 · 2 · 2 · 2 · 2 · 3 · 3 · 5 · 7 · 23 = 231840 .

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2	160	180	230	140
2	80	90	115	70
2	40	45	115	35
2	20	45	115	35
2	10	45	115	35
3	5	45	115	35
3	5	15	115	35
5	5	5	115	35
7	1	1	23	7
23	1	1	23	1
	1	1	1	1

2	160	180	230	140
2	80	90	115	70
2	40	45	115	35
2	20	45	115	35
2	10	45	115	35
3	5	45	115	35
3	5	15	115	35
5	5	5	115	35
7	1	1	23	7
23	1	1	23	1
	1	1	1	1

2	160	180	230	140
2	80	90	115	70
2	40	45	115	35
2	20	45	115	35
2	10	45	115	35
3	5	45	115	35
3	5	15	115	35
5	5	5	115	35
7	1	1	23	7
23	1	1	23	1
	1	1	1	1