LCM( 36, 54, 108, 144 ) = 432
Step 1 : Write the given numbers in a horizontal line.
36 | 54 | 108 | 144 |
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 | 36 | 54 | 108 | 144 |
18 | 27 | 54 | 72 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 36 | 54 | 108 | 144 |
2 | 18 | 27 | 54 | 72 |
2 | 9 | 27 | 27 | 36 |
2 | 9 | 27 | 27 | 18 |
3 | 9 | 27 | 27 | 9 |
3 | 3 | 9 | 9 | 3 |
3 | 1 | 3 | 3 | 1 |
1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 36, 54, 108, 144 ) = 2 · 2 · 2 · 2 · 3 · 3 · 3 = 432 .