LCM( 54, 108, 135, 140 ) = 3780
Step 1 : Write the given numbers in a horizontal line.
54 | 108 | 135 | 140 |
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 | 54 | 108 | 135 | 140 |
27 | 54 | 135 | 70 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 54 | 108 | 135 | 140 |
2 | 27 | 54 | 135 | 70 |
3 | 27 | 27 | 135 | 35 |
3 | 9 | 9 | 45 | 35 |
3 | 3 | 3 | 15 | 35 |
5 | 1 | 1 | 5 | 35 |
7 | 1 | 1 | 1 | 7 |
1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 54, 108, 135, 140 ) = 2 · 2 · 3 · 3 · 3 · 5 · 7 = 3780 .