Find the LCM of 781, 517, 134, 426, 507 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 781, 517, 134, 426, 507. So, keep reading to learn more.
Given numbers are 781,517,134,426,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,517,134,426,507 is 2493800166.
Find LCM of 781,517,134,426,507 with Prime Factorization
2 | 781, 517, 134, 426, 507 |
3 | 781, 517, 67, 213, 507 |
11 | 781, 517, 67, 71, 169 |
71 | 71, 47, 67, 71, 169 |
1, 47, 67, 1, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 71 x 1 x 47 x 67 x 1 x 169 = 2493800166
Therefore, the lowest common multiple of 781,517,134,426,507 is 2493800166.
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.
781 x 517 x 134 x 426 x 507 = 11685947577876
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.
781 : 1, 11, 71, 781
517 : 1, 11, 47, 517
134 : 1, 2, 67, 134
426 : 1, 2, 3, 6, 71, 142, 213, 426
507 : 1, 3, 13, 39, 169, 507
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,517,134,426,507, is 1.
Now, the common factors can be found like this.
781:11x 71
517:11x 47
134:2x 67
426:2x 3x 71
507:3x 13x 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 11x 71 = 4686
Therefore, the value for common factors is 4686.
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 = 11685947577876/(1x4686)
LCM = 11685947577876/4686
LCM = 2493800166
Thus, we can understand that the LCM of 781,517,134,426,507 is 2493800166.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 781, 517, 134, 426, 507?
Answer: LCM of 781, 517, 134, 426, 507 is 2493800166.
2. How to calculate the LCM of 781, 517, 134, 426, 507?
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 781, 517, 134, 426, 507.
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}.