Question
Find Least Common Multiple of 620, 340, 300 and 280 using division method..
Answer
LCM( 620, 340, 300, 280 ) = 2213400
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 620 | 340 | 300 | 280 |
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 | 620 | 340 | 300 | 280 |
| 310 | 170 | 150 | 140 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 620 | 340 | 300 | 280 |
| 2 | 310 | 170 | 150 | 140 |
| 2 | 155 | 85 | 75 | 70 |
| 3 | 155 | 85 | 75 | 35 |
| 5 | 155 | 85 | 25 | 35 |
| 5 | 31 | 17 | 5 | 7 |
| 7 | 31 | 17 | 1 | 7 |
| 17 | 31 | 17 | 1 | 1 |
| 31 | 31 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 620, 340, 300, 280 ) = 2 · 2 · 2 · 3 · 5 · 5 · 7 · 17 · 31 = 2213400 .
This page was created using
LCM Calculator