Find Least Common Multiple of 2, 99, 2 and 56 using division method..
Answer
LCM( 2, 99, 2, 56 ) = 5544
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 2 | 99 | 2 | 56 |
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 | 2 | 99 | 2 | 56 |
| 1 | 99 | 1 | 28 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 2 | 99 | 2 | 56 |
| 2 | 1 | 99 | 1 | 28 |
| 2 | 1 | 99 | 1 | 14 |
| 3 | 1 | 99 | 1 | 7 |
| 3 | 1 | 33 | 1 | 7 |
| 7 | 1 | 11 | 1 | 7 |
| 11 | 1 | 11 | 1 | 1 |
| 1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 2, 99, 2, 56 ) = 2 · 2 · 2 · 3 · 3 · 7 · 11 = 5544 .
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