Find Least Common Multiple of 460, 520, 360 and 440 using division method..

Answer

LCM( 460, 520, 360, 440 ) = 1184040

Explanation

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

460

520

360

440

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	460	520	360	440
	230	260	180	220

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

2	460	520	360	440
2	230	260	180	220
2	115	130	90	110
3	115	65	45	55
3	115	65	15	55
5	115	65	5	55
11	23	13	1	11
13	23	13	1	1
23	23	1	1	1
	1	1	1	1

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

LCM( 460, 520, 360, 440 ) = 2 · 2 · 2 · 3 · 3 · 5 · 11 · 13 · 23 = 1184040 .

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2	460	520	360	440
2	230	260	180	220
2	115	130	90	110
3	115	65	45	55
3	115	65	15	55
5	115	65	5	55
11	23	13	1	11
13	23	13	1	1
23	23	1	1	1
	1	1	1	1

2	460	520	360	440
2	230	260	180	220
2	115	130	90	110
3	115	65	45	55
3	115	65	15	55
5	115	65	5	55
11	23	13	1	11
13	23	13	1	1
23	23	1	1	1
	1	1	1	1

2	460	520	360	440
2	230	260	180	220
2	115	130	90	110
3	115	65	45	55
3	115	65	15	55
5	115	65	5	55
11	23	13	1	11
13	23	13	1	1
23	23	1	1	1
	1	1	1	1