Question
Find Least Common Multiple of 16, 28, 40 and 77 using division method..
Answer
LCM( 16, 28, 40, 77 ) = 6160
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 16 | 28 | 40 | 77 |
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 | 16 | 28 | 40 | 77 |
| 8 | 14 | 20 | 77 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 16 | 28 | 40 | 77 |
| 2 | 8 | 14 | 20 | 77 |
| 2 | 4 | 7 | 10 | 77 |
| 2 | 2 | 7 | 5 | 77 |
| 5 | 1 | 7 | 5 | 77 |
| 7 | 1 | 7 | 1 | 77 |
| 11 | 1 | 1 | 1 | 11 |
| 1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 16, 28, 40, 77 ) = 2 · 2 · 2 · 2 · 5 · 7 · 11 = 6160 .
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