Find Least Common Multiple of 24, 45 and 72 using division method..
Answer
LCM( 24, 45, 72 ) = 360
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 24 | 45 | 72 |
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 | 24 | 45 | 72 |
| 12 | 45 | 36 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 24 | 45 | 72 |
| 2 | 12 | 45 | 36 |
| 2 | 6 | 45 | 18 |
| 3 | 3 | 45 | 9 |
| 3 | 1 | 15 | 3 |
| 5 | 1 | 5 | 1 |
| 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 24, 45, 72 ) = 2 · 2 · 2 · 3 · 3 · 5 = 360 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.
This page was created using
LCM Calculator