Find Least Common Multiple of 49, 99, 108 and 126 using division method..
Answer
LCM( 49, 99, 108, 126 ) = 58212
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 49 | 99 | 108 | 126 |
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 | 49 | 99 | 108 | 126 |
| 49 | 99 | 54 | 63 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 49 | 99 | 108 | 126 |
| 2 | 49 | 99 | 54 | 63 |
| 3 | 49 | 99 | 27 | 63 |
| 3 | 49 | 33 | 9 | 21 |
| 3 | 49 | 11 | 3 | 7 |
| 7 | 49 | 11 | 1 | 7 |
| 7 | 7 | 11 | 1 | 1 |
| 11 | 1 | 11 | 1 | 1 |
| 1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 49, 99, 108, 126 ) = 2 · 2 · 3 · 3 · 3 · 7 · 7 · 11 = 58212 .
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