LCM( 12, 16, 17, 36 ) = 2448
Step 1 : Write the given numbers in a horizontal line.
12 | 16 | 17 | 36 |
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 | 12 | 16 | 17 | 36 |
6 | 8 | 17 | 18 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 12 | 16 | 17 | 36 |
2 | 6 | 8 | 17 | 18 |
2 | 3 | 4 | 17 | 9 |
2 | 3 | 2 | 17 | 9 |
3 | 3 | 1 | 17 | 9 |
3 | 1 | 1 | 17 | 3 |
17 | 1 | 1 | 17 | 1 |
1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 12, 16, 17, 36 ) = 2 · 2 · 2 · 2 · 3 · 3 · 17 = 2448 .