Question
Find Least Common Multiple of 1550 and 1550 using division method..
Answer
LCM( 1550, 1550 ) = 1550
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 1550 | 1550 |
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 | 1550 | 1550 |
| 775 | 775 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 1550 | 1550 |
| 5 | 775 | 775 |
| 5 | 155 | 155 |
| 31 | 31 | 31 |
| 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1550, 1550 ) = 2 · 5 · 5 · 31 = 1550 .
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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