Find Least Common Multiple of 68, 119, 120 and 140 using division method..

Answer

LCM( 68, 119, 120, 140 ) = 14280

Explanation

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

119

120

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	68	119	120	140
	34	119	60	70

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

2	68	119	120	140
2	34	119	60	70
2	17	119	30	35
3	17	119	15	35
5	17	119	5	35
7	17	119	1	7
17	17	17	1	1
	1	1	1	1

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

LCM( 68, 119, 120, 140 ) = 2 · 2 · 2 · 3 · 5 · 7 · 17 = 14280 .

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2	68	119	120	140
2	34	119	60	70
2	17	119	30	35
3	17	119	15	35
5	17	119	5	35
7	17	119	1	7
17	17	17	1	1
	1	1	1	1

2	68	119	120	140
2	34	119	60	70
2	17	119	30	35
3	17	119	15	35
5	17	119	5	35
7	17	119	1	7
17	17	17	1	1
	1	1	1	1

2	68	119	120	140
2	34	119	60	70
2	17	119	30	35
3	17	119	15	35
5	17	119	5	35
7	17	119	1	7
17	17	17	1	1
	1	1	1	1