Find Least Common Multiple of 125, 200, 215 and 95 using division method..
Answer
LCM( 125, 200, 215, 95 ) = 817000
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 125 | 200 | 215 | 95 |
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 | 125 | 200 | 215 | 95 |
| 125 | 100 | 215 | 95 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 125 | 200 | 215 | 95 |
| 2 | 125 | 100 | 215 | 95 |
| 2 | 125 | 50 | 215 | 95 |
| 5 | 125 | 25 | 215 | 95 |
| 5 | 25 | 5 | 43 | 19 |
| 5 | 5 | 1 | 43 | 19 |
| 19 | 1 | 1 | 43 | 19 |
| 43 | 1 | 1 | 43 | 1 |
| 1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 125, 200, 215, 95 ) = 2 · 2 · 2 · 5 · 5 · 5 · 19 · 43 = 817000 .
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