Find Least Common Multiple of 102, 136, 150 and 170 using division method..

Answer

LCM( 102, 136, 150, 170 ) = 10200

Explanation

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

102

136

150

170

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	102	136	150	170
	51	68	75	85

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

2	102	136	150	170
2	51	68	75	85
2	51	34	75	85
3	51	17	75	85
5	17	17	25	85
5	17	17	5	17
17	17	17	1	17
	1	1	1	1

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

LCM( 102, 136, 150, 170 ) = 2 · 2 · 2 · 3 · 5 · 5 · 17 = 10200 .

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2	102	136	150	170
2	51	68	75	85
2	51	34	75	85
3	51	17	75	85
5	17	17	25	85
5	17	17	5	17
17	17	17	1	17
	1	1	1	1

2	102	136	150	170
2	51	68	75	85
2	51	34	75	85
3	51	17	75	85
5	17	17	25	85
5	17	17	5	17
17	17	17	1	17
	1	1	1	1

2	102	136	150	170
2	51	68	75	85
2	51	34	75	85
3	51	17	75	85
5	17	17	25	85
5	17	17	5	17
17	17	17	1	17
	1	1	1	1