Find Least Common Multiple of 69 and 21 using division method..
Answer
LCM( 69, 21 ) = 483
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 69 | 21 |
Step 2 : Divide the given numbers by smallest prime number. In this example we can divide by 3.
(if any number is not divisible by 3, write it down unchanged)
| 3 | 69 | 21 |
| 23 | 7 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 3 | 69 | 21 |
| 7 | 23 | 7 |
| 23 | 23 | 1 |
| 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 69, 21 ) = 3 · 7 · 23 = 483 .
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