Find the LCM of 780, 758, 873, 810, 493 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 780, 758, 873, 810, 493. So, keep reading to learn more.
Given numbers are 780,758,873,810,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 780,758,873,810,493 is 381694788540.
Find LCM of 780,758,873,810,493 with Prime Factorization
2 | 780, 758, 873, 810, 493 |
3 | 390, 379, 873, 405, 493 |
3 | 130, 379, 291, 135, 493 |
5 | 130, 379, 97, 45, 493 |
26, 379, 97, 9, 493 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 26 x 379 x 97 x 9 x 493 = 381694788540
Therefore, the lowest common multiple of 780,758,873,810,493 is 381694788540.
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.
780 x 758 x 873 x 810 x 493 = 206115185811600
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.
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
758 : 1, 2, 379, 758
873 : 1, 3, 9, 97, 291, 873
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,758,873,810,493, is 1.
Now, the common factors can be found like this.
780:2x 2x 3x 5x 13
758:2x 379
873:3x 3x 97
810:2x 3x 3x 3x 3x 5
493:17x 29
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 3x 3x 3x 5 = 540
Therefore, the value for common factors is 540.
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 = 206115185811600/(1x540)
LCM = 206115185811600/540
LCM = 381694788540
Thus, we can understand that the LCM of 780,758,873,810,493 is 381694788540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 780, 758, 873, 810, 493?
Answer: LCM of 780, 758, 873, 810, 493 is 381694788540.
2. How to calculate the LCM of 780, 758, 873, 810, 493?
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 780, 758, 873, 810, 493.
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}.