Find Least Common Multiple of 284, 290, 360 and 484 using division method..

Answer

LCM( 284, 290, 360, 484 ) = 89690040

Explanation

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

284

290

360

484

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	284	290	360	484
	142	145	180	242

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

2	284	290	360	484
2	142	145	180	242
2	71	145	90	121
3	71	145	45	121
3	71	145	15	121
5	71	145	5	121
11	71	29	1	121
11	71	29	1	11
29	71	29	1	1
71	71	1	1	1
	1	1	1	1

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

LCM( 284, 290, 360, 484 ) = 2 · 2 · 2 · 3 · 3 · 5 · 11 · 11 · 29 · 71 = 89690040 .

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2	284	290	360	484
2	142	145	180	242
2	71	145	90	121
3	71	145	45	121
3	71	145	15	121
5	71	145	5	121
11	71	29	1	121
11	71	29	1	11
29	71	29	1	1
71	71	1	1	1
	1	1	1	1

2	284	290	360	484
2	142	145	180	242
2	71	145	90	121
3	71	145	45	121
3	71	145	15	121
5	71	145	5	121
11	71	29	1	121
11	71	29	1	11
29	71	29	1	1
71	71	1	1	1
	1	1	1	1

2	284	290	360	484
2	142	145	180	242
2	71	145	90	121
3	71	145	45	121
3	71	145	15	121
5	71	145	5	121
11	71	29	1	121
11	71	29	1	11
29	71	29	1	1
71	71	1	1	1
	1	1	1	1