Find Least Common Multiple of 160, 170, 180 and 190 using division method..

Answer

LCM( 160, 170, 180, 190 ) = 465120

Explanation

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

160

170

180

190

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	170	180	190
	80	85	90	95

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

2	160	170	180	190
2	80	85	90	95
2	40	85	45	95
2	20	85	45	95
2	10	85	45	95
3	5	85	45	95
3	5	85	15	95
5	5	85	5	95
17	1	17	1	19
19	1	1	1	19
	1	1	1	1

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

LCM( 160, 170, 180, 190 ) = 2 · 2 · 2 · 2 · 2 · 3 · 3 · 5 · 17 · 19 = 465120 .

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2	160	170	180	190
2	80	85	90	95
2	40	85	45	95
2	20	85	45	95
2	10	85	45	95
3	5	85	45	95
3	5	85	15	95
5	5	85	5	95
17	1	17	1	19
19	1	1	1	19
	1	1	1	1

2	160	170	180	190
2	80	85	90	95
2	40	85	45	95
2	20	85	45	95
2	10	85	45	95
3	5	85	45	95
3	5	85	15	95
5	5	85	5	95
17	1	17	1	19
19	1	1	1	19
	1	1	1	1

2	160	170	180	190
2	80	85	90	95
2	40	85	45	95
2	20	85	45	95
2	10	85	45	95
3	5	85	45	95
3	5	85	15	95
5	5	85	5	95
17	1	17	1	19
19	1	1	1	19
	1	1	1	1