Find the LCM of 758, 681, 681, 960, 637 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 758, 681, 681, 960, 637. So, keep reading to learn more.
Given numbers are 758,681,681,960,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 758,681,681,960,637 is 52610900160.
Find LCM of 758,681,681,960,637 with Prime Factorization
2 | 758, 681, 681, 960, 637 |
3 | 379, 681, 681, 480, 637 |
227 | 379, 227, 227, 160, 637 |
379, 1, 1, 160, 637 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 227 x 379 x 1 x 1 x 160 x 637 = 52610900160
Therefore, the lowest common multiple of 758,681,681,960,637 is 52610900160.
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.
758 x 681 x 681 x 960 x 637 = 214968138053760
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.
758 : 1, 2, 379, 758
681 : 1, 3, 227, 681
681 : 1, 3, 227, 681
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 758,681,681,960,637, is 1.
Now, the common factors can be found like this.
758:2x 379
681:3x 227
681:3x 227
960:2x 2x 2x 2x 2x 2x 3x 5
637:7x 7x 13
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 3x 227 = 4086
Therefore, the value for common factors is 4086.
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 = 214968138053760/(1x4086)
LCM = 214968138053760/4086
LCM = 52610900160
Thus, we can understand that the LCM of 758,681,681,960,637 is 52610900160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 758, 681, 681, 960, 637?
Answer: LCM of 758, 681, 681, 960, 637 is 52610900160.
2. How to calculate the LCM of 758, 681, 681, 960, 637?
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 758, 681, 681, 960, 637.
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}.