LCM( 132, 154, 176 ) = 3696
Step 1 : Write the given numbers in a horizontal line.
132 | 154 | 176 |
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 | 132 | 154 | 176 |
66 | 77 | 88 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 132 | 154 | 176 |
2 | 66 | 77 | 88 |
2 | 33 | 77 | 44 |
2 | 33 | 77 | 22 |
3 | 33 | 77 | 11 |
7 | 11 | 77 | 11 |
11 | 11 | 11 | 11 |
1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 132, 154, 176 ) = 2 · 2 · 2 · 2 · 3 · 7 · 11 = 3696 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.