LCM of 200, 390, 660, 482
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 200, 390, 660, 482 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 200, 390, 660, 482. So, keep reading to learn more.
Given numbers are 200,390,660,482
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 200,390,660,482 is 20677800.
Find LCM of 200,390,660,482 with Prime Factorization
| 2 | 200, 390, 660, 482 |
| 2 | 100, 195, 330, 241 |
| 3 | 50, 195, 165, 241 |
| 5 | 50, 65, 55, 241 |
| 10, 13, 11, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 10 x 13 x 11 x 241 = 20677800
Therefore, the lowest common multiple of 200,390,660,482 is 20677800.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
200 x 390 x 660 x 482 = 24813360000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
482 : 1, 2, 241, 482
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 200,390,660,482, is 2.
Now, the common factors can be found like this.
200:2x 2x 2x 5x 5
390:2x 3x 5x 13
660:2x 2x 3x 5x 11
482:2x 241
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 5x 5 = 600
Therefore, the value for common factors is 600.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 24813360000/(2x600)
LCM = 24813360000/1200
LCM = 20677800
Thus, we can understand that the LCM of 200,390,660,482 is 20677800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 200, 390, 660, 482
1. What is the LCM of 200, 390, 660, 482?
Answer: LCM of 200, 390, 660, 482 is 20677800.
2. How to calculate the LCM of 200, 390, 660, 482?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 200, 390, 660, 482.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.