Find Least Common Multiple of 49, 121 and 35 using division method..
Answer
LCM( 49, 121, 35 ) = 29645
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 49 | 121 | 35 |
Step 2 : Divide the given numbers by smallest prime number. In this example we can divide by 5.
(if any number is not divisible by 5, write it down unchanged)
| 5 | 49 | 121 | 35 |
| 49 | 121 | 7 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 5 | 49 | 121 | 35 |
| 7 | 49 | 121 | 7 |
| 7 | 7 | 121 | 1 |
| 11 | 1 | 121 | 1 |
| 11 | 1 | 11 | 1 |
| 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 49, 121, 35 ) = 5 · 7 · 7 · 11 · 11 = 29645 .
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