Question
Find Least Common Multiple of 630, 450, 245 and 365 using division method..
Answer
LCM( 630, 450, 245, 365 ) = 1609650
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 630 | 450 | 245 | 365 |
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 | 630 | 450 | 245 | 365 |
| 315 | 225 | 245 | 365 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 630 | 450 | 245 | 365 |
| 3 | 315 | 225 | 245 | 365 |
| 3 | 105 | 75 | 245 | 365 |
| 5 | 35 | 25 | 245 | 365 |
| 5 | 7 | 5 | 49 | 73 |
| 7 | 7 | 1 | 49 | 73 |
| 7 | 1 | 1 | 7 | 73 |
| 73 | 1 | 1 | 1 | 73 |
| 1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 630, 450, 245, 365 ) = 2 · 3 · 3 · 5 · 5 · 7 · 7 · 73 = 1609650 .
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