Question
Find Least Common Multiple of 245, 85, 100 and 185 using division method..
Answer
LCM( 245, 85, 100, 185 ) = 3082100
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 245 | 85 | 100 | 185 |
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 | 245 | 85 | 100 | 185 |
| 245 | 85 | 50 | 185 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 245 | 85 | 100 | 185 |
| 2 | 245 | 85 | 50 | 185 |
| 5 | 245 | 85 | 25 | 185 |
| 5 | 49 | 17 | 5 | 37 |
| 7 | 49 | 17 | 1 | 37 |
| 7 | 7 | 17 | 1 | 37 |
| 17 | 1 | 17 | 1 | 37 |
| 37 | 1 | 1 | 1 | 37 |
| 1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 245, 85, 100, 185 ) = 2 · 2 · 5 · 5 · 7 · 7 · 17 · 37 = 3082100 .
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