Question
Find Least Common Multiple of 3750, 193117 and 950 using division method..
Answer
LCM( 3750, 193117, 950 ) = 13759586250
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 3750 | 193117 | 950 |
Step 2 : Divide the given numbers by smallest prime number. In this example we can divide by 950.
(if any number is not divisible by 950, write it down unchanged)
| 950 | 3750 | 193117 | 950 |
| 3750 | 193117 | 1 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 950 | 3750 | 193117 | 950 |
| 3750 | 3750 | 193117 | 1 |
| 193117 | 1 | 193117 | 1 |
| 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 3750, 193117, 950 ) = 950 · 3750 · 193117 = 13759586250 .
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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