Question
Find Least Common Multiple of 1080, 1260, 1480 and 1620 using division method..
Answer
LCM( 1080, 1260, 1480, 1620 ) = 839160
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 1080 | 1260 | 1480 | 1620 |
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 | 1080 | 1260 | 1480 | 1620 |
| 540 | 630 | 740 | 810 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 1080 | 1260 | 1480 | 1620 |
| 2 | 540 | 630 | 740 | 810 |
| 2 | 270 | 315 | 370 | 405 |
| 3 | 135 | 315 | 185 | 405 |
| 3 | 45 | 105 | 185 | 135 |
| 3 | 15 | 35 | 185 | 45 |
| 3 | 5 | 35 | 185 | 15 |
| 5 | 5 | 35 | 185 | 5 |
| 7 | 1 | 7 | 37 | 1 |
| 37 | 1 | 1 | 37 | 1 |
| 1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1080, 1260, 1480, 1620 ) = 2 · 2 · 2 · 3 · 3 · 3 · 3 · 5 · 7 · 37 = 839160 .
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