Question
Find Least Common Multiple of 30, 84, 120 and 130 using division method..
Answer
LCM( 30, 84, 120, 130 ) = 10920
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 30 | 84 | 120 | 130 |
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 | 30 | 84 | 120 | 130 |
| 15 | 42 | 60 | 65 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 30 | 84 | 120 | 130 |
| 2 | 15 | 42 | 60 | 65 |
| 2 | 15 | 21 | 30 | 65 |
| 3 | 15 | 21 | 15 | 65 |
| 5 | 5 | 7 | 5 | 65 |
| 7 | 1 | 7 | 1 | 13 |
| 13 | 1 | 1 | 1 | 13 |
| 1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 30, 84, 120, 130 ) = 2 · 2 · 2 · 3 · 5 · 7 · 13 = 10920 .
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