Question
Find Least Common Multiple of 175, 182 and 350 using division method..
Answer
LCM( 175, 182, 350 ) = 4550
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 175 | 182 | 350 |
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 | 175 | 182 | 350 |
| 175 | 91 | 175 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 175 | 182 | 350 |
| 5 | 175 | 91 | 175 |
| 5 | 35 | 91 | 35 |
| 7 | 7 | 91 | 7 |
| 13 | 1 | 13 | 1 |
| 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 175, 182, 350 ) = 2 · 5 · 5 · 7 · 13 = 4550 .
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