Question
Find Least Common Multiple of 184, 190 and 220 using division method..
Answer
LCM( 184, 190, 220 ) = 192280
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 184 | 190 | 220 |
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 | 184 | 190 | 220 |
| 92 | 95 | 110 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 184 | 190 | 220 |
| 2 | 92 | 95 | 110 |
| 2 | 46 | 95 | 55 |
| 5 | 23 | 95 | 55 |
| 11 | 23 | 19 | 11 |
| 19 | 23 | 19 | 1 |
| 23 | 23 | 1 | 1 |
| 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 184, 190, 220 ) = 2 · 2 · 2 · 5 · 11 · 19 · 23 = 192280 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.
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