LCM( 198, 135, 108, 54 ) = 5940
Step 1 : Write the given numbers in a horizontal line.
198 | 135 | 108 | 54 |
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 | 198 | 135 | 108 | 54 |
99 | 135 | 54 | 27 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 198 | 135 | 108 | 54 |
2 | 99 | 135 | 54 | 27 |
3 | 99 | 135 | 27 | 27 |
3 | 33 | 45 | 9 | 9 |
3 | 11 | 15 | 3 | 3 |
5 | 11 | 5 | 1 | 1 |
11 | 11 | 1 | 1 | 1 |
1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 198, 135, 108, 54 ) = 2 · 2 · 3 · 3 · 3 · 5 · 11 = 5940 .