LCM( 28, 44, 132 ) = 924
Step 1 : Write the given numbers in a horizontal line.
28 | 44 | 132 |
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 | 28 | 44 | 132 |
14 | 22 | 66 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 28 | 44 | 132 |
2 | 14 | 22 | 66 |
3 | 7 | 11 | 33 |
7 | 7 | 11 | 11 |
11 | 1 | 11 | 11 |
1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 28, 44, 132 ) = 2 · 2 · 3 · 7 · 11 = 924 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.