Find Least Common Multiple of 75, 105 and 150 using division method..
Answer
LCM( 75, 105, 150 ) = 1050
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 75 | 105 | 150 |
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 | 75 | 105 | 150 |
| 75 | 105 | 75 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 75 | 105 | 150 |
| 3 | 75 | 105 | 75 |
| 5 | 25 | 35 | 25 |
| 5 | 5 | 7 | 5 |
| 7 | 1 | 7 | 1 |
| 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 75, 105, 150 ) = 2 · 3 · 5 · 5 · 7 = 1050 .
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