LCM( 384, 660, 340, 460 ) = 8257920
Step 1 : Write the given numbers in a horizontal line.
384 | 660 | 340 | 460 |
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 | 384 | 660 | 340 | 460 |
192 | 330 | 170 | 230 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 384 | 660 | 340 | 460 |
2 | 192 | 330 | 170 | 230 |
2 | 96 | 165 | 85 | 115 |
2 | 48 | 165 | 85 | 115 |
2 | 24 | 165 | 85 | 115 |
2 | 12 | 165 | 85 | 115 |
2 | 6 | 165 | 85 | 115 |
3 | 3 | 165 | 85 | 115 |
5 | 1 | 55 | 85 | 115 |
11 | 1 | 11 | 17 | 23 |
17 | 1 | 1 | 17 | 23 |
23 | 1 | 1 | 1 | 23 |
1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 384, 660, 340, 460 ) = 2 · 2 · 2 · 2 · 2 · 2 · 2 · 3 · 5 · 11 · 17 · 23 = 8257920 .