Find the LCM of 794, 720, 575, 417, 115 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 794, 720, 575, 417, 115. So, keep reading to learn more.
Given numbers are 794,720,575,417,115
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 794,720,575,417,115 is 4569152400.
Find LCM of 794,720,575,417,115 with Prime Factorization
2 | 794, 720, 575, 417, 115 |
3 | 397, 360, 575, 417, 115 |
5 | 397, 120, 575, 139, 115 |
23 | 397, 24, 23, 139, 115 |
397, 24, 1, 139, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 397 x 24 x 1 x 139 x 5 = 4569152400
Therefore, the lowest common multiple of 794,720,575,417,115 is 4569152400.
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.
794 x 720 x 575 x 417 x 115 = 15763575780000
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.
794 : 1, 2, 397, 794
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
575 : 1, 5, 23, 25, 115, 575
417 : 1, 3, 139, 417
115 : 1, 5, 23, 115
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,720,575,417,115, is 1.
Now, the common factors can be found like this.
794:2x 397
720:2x 2x 2x 2x 3x 3x 5
575:5x 5x 23
417:3x 139
115:5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 23 = 3450
Therefore, the value for common factors is 3450.
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 = 15763575780000/(1x3450)
LCM = 15763575780000/3450
LCM = 4569152400
Thus, we can understand that the LCM of 794,720,575,417,115 is 4569152400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 794, 720, 575, 417, 115?
Answer: LCM of 794, 720, 575, 417, 115 is 4569152400.
2. How to calculate the LCM of 794, 720, 575, 417, 115?
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 794, 720, 575, 417, 115.
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}.