Question
Find Least Common Multiple of 84, 150, 65 and 225 using division method..
Answer
LCM( 84, 150, 65, 225 ) = 81900
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 84 | 150 | 65 | 225 |
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 | 84 | 150 | 65 | 225 |
| 42 | 75 | 65 | 225 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 84 | 150 | 65 | 225 |
| 2 | 42 | 75 | 65 | 225 |
| 3 | 21 | 75 | 65 | 225 |
| 3 | 7 | 25 | 65 | 75 |
| 5 | 7 | 25 | 65 | 25 |
| 5 | 7 | 5 | 13 | 5 |
| 7 | 7 | 1 | 13 | 1 |
| 13 | 1 | 1 | 13 | 1 |
| 1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 84, 150, 65, 225 ) = 2 · 2 · 3 · 3 · 5 · 5 · 7 · 13 = 81900 .
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