Question
Find Least Common Multiple of 260, 480, 684 and 784 using division method..
Answer
LCM( 260, 480, 684, 784 ) = 17428320
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 260 | 480 | 684 | 784 |
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 | 260 | 480 | 684 | 784 |
| 130 | 240 | 342 | 392 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 260 | 480 | 684 | 784 |
| 2 | 130 | 240 | 342 | 392 |
| 2 | 65 | 120 | 171 | 196 |
| 2 | 65 | 60 | 171 | 98 |
| 2 | 65 | 30 | 171 | 49 |
| 3 | 65 | 15 | 171 | 49 |
| 3 | 65 | 5 | 57 | 49 |
| 5 | 65 | 5 | 19 | 49 |
| 7 | 13 | 1 | 19 | 49 |
| 7 | 13 | 1 | 19 | 7 |
| 13 | 13 | 1 | 19 | 1 |
| 19 | 1 | 1 | 19 | 1 |
| 1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 260, 480, 684, 784 ) = 2 · 2 · 2 · 2 · 2 · 3 · 3 · 5 · 7 · 7 · 13 · 19 = 17428320 .
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