LCM( 260, 284, 320, 420 ) = 6202560
Step 1 : Write the given numbers in a horizontal line.
260 | 284 | 320 | 420 |
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 | 260 | 284 | 320 | 420 |
130 | 142 | 160 | 210 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 260 | 284 | 320 | 420 |
2 | 130 | 142 | 160 | 210 |
2 | 65 | 71 | 80 | 105 |
2 | 65 | 71 | 40 | 105 |
2 | 65 | 71 | 20 | 105 |
2 | 65 | 71 | 10 | 105 |
3 | 65 | 71 | 5 | 105 |
5 | 65 | 71 | 5 | 35 |
7 | 13 | 71 | 1 | 7 |
13 | 13 | 71 | 1 | 1 |
71 | 1 | 71 | 1 | 1 |
1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 260, 284, 320, 420 ) = 2 · 2 · 2 · 2 · 2 · 2 · 3 · 5 · 7 · 13 · 71 = 6202560 .