Question
Find Least Common Multiple of 62, 11, 44 and 43 using division method..
Answer
LCM( 62, 11, 44, 43 ) = 58652
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 62 | 11 | 44 | 43 |
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 | 62 | 11 | 44 | 43 |
| 31 | 11 | 22 | 43 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 62 | 11 | 44 | 43 |
| 2 | 31 | 11 | 22 | 43 |
| 11 | 31 | 11 | 11 | 43 |
| 31 | 31 | 1 | 1 | 43 |
| 43 | 1 | 1 | 1 | 43 |
| 1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 62, 11, 44, 43 ) = 2 · 2 · 11 · 31 · 43 = 58652 .
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