Find Least Common Multiple of 6, 25, 12, 5, 25, 37, 5, 75, 125, 187, 5 and 375 using division method..
Answer
LCM( 6, 25, 12, 5, 25, 37, 5, 75, 125, 187, 5, 375 ) = 10378500
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 6 | 25 | 12 | 5 | 25 | 37 | 5 | 75 | 125 | 187 | 5 | 375 |
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 | 6 | 25 | 12 | 5 | 25 | 37 | 5 | 75 | 125 | 187 | 5 | 375 |
| 3 | 25 | 6 | 5 | 25 | 37 | 5 | 75 | 125 | 187 | 5 | 375 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 6 | 25 | 12 | 5 | 25 | 37 | 5 | 75 | 125 | 187 | 5 | 375 |
| 2 | 3 | 25 | 6 | 5 | 25 | 37 | 5 | 75 | 125 | 187 | 5 | 375 |
| 3 | 3 | 25 | 3 | 5 | 25 | 37 | 5 | 75 | 125 | 187 | 5 | 375 |
| 5 | 1 | 25 | 1 | 5 | 25 | 37 | 5 | 25 | 125 | 187 | 5 | 125 |
| 5 | 1 | 5 | 1 | 1 | 5 | 37 | 1 | 5 | 25 | 187 | 1 | 25 |
| 5 | 1 | 1 | 1 | 1 | 1 | 37 | 1 | 1 | 5 | 187 | 1 | 5 |
| 11 | 1 | 1 | 1 | 1 | 1 | 37 | 1 | 1 | 1 | 187 | 1 | 1 |
| 17 | 1 | 1 | 1 | 1 | 1 | 37 | 1 | 1 | 1 | 17 | 1 | 1 |
| 37 | 1 | 1 | 1 | 1 | 1 | 37 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 6, 25, 12, 5, 25, 37, 5, 75, 125, 187, 5, 375 ) = 2 · 2 · 3 · 5 · 5 · 5 · 11 · 17 · 37 = 10378500 .
This page was created using
LCM Calculator