LCM of 515, 380, 574, 696, 519
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 380, 574, 696, 519 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 515, 380, 574, 696, 519. So, keep reading to learn more.
Given numbers are 515,380,574,696,519
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,380,574,696,519 is 338141184360.
Find LCM of 515,380,574,696,519 with Prime Factorization
| 2 | 515, 380, 574, 696, 519 |
| 2 | 515, 190, 287, 348, 519 |
| 3 | 515, 95, 287, 174, 519 |
| 5 | 515, 95, 287, 58, 173 |
| 103, 19, 287, 58, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 103 x 19 x 287 x 58 x 173 = 338141184360
Therefore, the lowest common multiple of 515,380,574,696,519 is 338141184360.
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.
515 x 380 x 574 x 696 x 519 = 40576942123200
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.
515 : 1, 5, 103, 515
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
574 : 1, 2, 7, 14, 41, 82, 287, 574
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
519 : 1, 3, 173, 519
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,380,574,696,519, is 1.
Now, the common factors can be found like this.
515:5x 103
380:2x 2x 5x 19
574:2x 7x 41
696:2x 2x 2x 3x 29
519:3x 173
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 5 = 120
Therefore, the value for common factors is 120.
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 = 40576942123200/(1x120)
LCM = 40576942123200/120
LCM = 338141184360
Thus, we can understand that the LCM of 515,380,574,696,519 is 338141184360.
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FAQs on LCM of 515, 380, 574, 696, 519
1. What is the LCM of 515, 380, 574, 696, 519?
Answer: LCM of 515, 380, 574, 696, 519 is 338141184360.
2. How to calculate the LCM of 515, 380, 574, 696, 519?
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 515, 380, 574, 696, 519.
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}.