LCM( 1, 2, 3, 4, 5, 6, 8, 9, 10 ) = 360
Step 1 : Write the given numbers in a horizontal line.
1 | 2 | 3 | 4 | 5 | 6 | 8 | 9 | 10 |
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 | 1 | 2 | 3 | 4 | 5 | 6 | 8 | 9 | 10 |
1 | 1 | 3 | 2 | 5 | 3 | 4 | 9 | 5 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1 | 2 | 3 | 4 | 5 | 6 | 8 | 9 | 10 |
2 | 1 | 1 | 3 | 2 | 5 | 3 | 4 | 9 | 5 |
2 | 1 | 1 | 3 | 1 | 5 | 3 | 2 | 9 | 5 |
3 | 1 | 1 | 3 | 1 | 5 | 3 | 1 | 9 | 5 |
3 | 1 | 1 | 1 | 1 | 5 | 1 | 1 | 3 | 5 |
5 | 1 | 1 | 1 | 1 | 5 | 1 | 1 | 1 | 5 |
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1, 2, 3, 4, 5, 6, 8, 9, 10 ) = 2 · 2 · 2 · 3 · 3 · 5 = 360 .