Find Least Common Multiple of 440, 284, 550 and 630 using division method..

Answer

LCM( 440, 284, 550, 630 ) = 9840600

Explanation

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

440

284

550

630

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	440	284	550	630
	220	142	275	315

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

2	440	284	550	630
2	220	142	275	315
2	110	71	275	315
3	55	71	275	315
3	55	71	275	105
5	55	71	275	35
5	11	71	55	7
7	11	71	11	7
11	11	71	11	1
71	1	71	1	1
	1	1	1	1

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

LCM( 440, 284, 550, 630 ) = 2 · 2 · 2 · 3 · 3 · 5 · 5 · 7 · 11 · 71 = 9840600 .

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2	440	284	550	630
2	220	142	275	315
2	110	71	275	315
3	55	71	275	315
3	55	71	275	105
5	55	71	275	35
5	11	71	55	7
7	11	71	11	7
11	11	71	11	1
71	1	71	1	1
	1	1	1	1

2	440	284	550	630
2	220	142	275	315
2	110	71	275	315
3	55	71	275	315
3	55	71	275	105
5	55	71	275	35
5	11	71	55	7
7	11	71	11	7
11	11	71	11	1
71	1	71	1	1
	1	1	1	1

2	440	284	550	630
2	220	142	275	315
2	110	71	275	315
3	55	71	275	315
3	55	71	275	105
5	55	71	275	35
5	11	71	55	7
7	11	71	11	7
11	11	71	11	1
71	1	71	1	1
	1	1	1	1