Find the LCM of 315, 578, 810, 607, 902 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 315, 578, 810, 607, 902. So, keep reading to learn more.
Given numbers are 315,578,810,607,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,578,810,607,902 is 448586432910.
Find LCM of 315,578,810,607,902 with Prime Factorization
2 | 315, 578, 810, 607, 902 |
3 | 315, 289, 405, 607, 451 |
3 | 105, 289, 135, 607, 451 |
5 | 35, 289, 45, 607, 451 |
7, 289, 9, 607, 451 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 289 x 9 x 607 x 451 = 448586432910
Therefore, the lowest common multiple of 315,578,810,607,902 is 448586432910.
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.
315 x 578 x 810 x 607 x 902 = 80745557923800
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
578 : 1, 2, 17, 34, 289, 578
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
607 : 1, 607
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,578,810,607,902, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
578:2x 17x 17
810:2x 3x 3x 3x 3x 5
607:607
902:2x 11x 41
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 5 = 180
Therefore, the value for common factors is 180.
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 = 80745557923800/(1x180)
LCM = 80745557923800/180
LCM = 448586432910
Thus, we can understand that the LCM of 315,578,810,607,902 is 448586432910.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 315, 578, 810, 607, 902?
Answer: LCM of 315, 578, 810, 607, 902 is 448586432910.
2. How to calculate the LCM of 315, 578, 810, 607, 902?
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 315, 578, 810, 607, 902.
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}.