LCM( 120, 210, 330, 440 ) = 9240
Step 1 : Write the given numbers in a horizontal line.
120 | 210 | 330 | 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 | 120 | 210 | 330 | 440 |
60 | 105 | 165 | 220 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 120 | 210 | 330 | 440 |
2 | 60 | 105 | 165 | 220 |
2 | 30 | 105 | 165 | 110 |
3 | 15 | 105 | 165 | 55 |
5 | 5 | 35 | 55 | 55 |
7 | 1 | 7 | 11 | 11 |
11 | 1 | 1 | 11 | 11 |
1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 120, 210, 330, 440 ) = 2 · 2 · 2 · 3 · 5 · 7 · 11 = 9240 .