Find Least Common Multiple of 32, 64, 160 and 130 using division method..

Answer

LCM( 32, 64, 160, 130 ) = 4160

Explanation

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

160

130

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	32	64	160	130
	16	32	80	65

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

2	32	64	160	130
2	16	32	80	65
2	8	16	40	65
2	4	8	20	65
2	2	4	10	65
2	1	2	5	65
5	1	1	5	65
13	1	1	1	13
	1	1	1	1

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

LCM( 32, 64, 160, 130 ) = 2 · 2 · 2 · 2 · 2 · 2 · 5 · 13 = 4160 .

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2	32	64	160	130
2	16	32	80	65
2	8	16	40	65
2	4	8	20	65
2	2	4	10	65
2	1	2	5	65
5	1	1	5	65
13	1	1	1	13
	1	1	1	1

2	32	64	160	130
2	16	32	80	65
2	8	16	40	65
2	4	8	20	65
2	2	4	10	65
2	1	2	5	65
5	1	1	5	65
13	1	1	1	13
	1	1	1	1

2	32	64	160	130
2	16	32	80	65
2	8	16	40	65
2	4	8	20	65
2	2	4	10	65
2	1	2	5	65
5	1	1	5	65
13	1	1	1	13
	1	1	1	1