Find the LCM of 507, 480, 786, 431 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 507, 480, 786, 431. So, keep reading to learn more.
Given numbers are 507,480,786,431
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,480,786,431 is 4580116320.
Find LCM of 507,480,786,431 with Prime Factorization
2 | 507, 480, 786, 431 |
3 | 507, 240, 393, 431 |
169, 80, 131, 431 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 169 x 80 x 131 x 431 = 4580116320
Therefore, the lowest common multiple of 507,480,786,431 is 4580116320.
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.
507 x 480 x 786 x 431 = 82442093760
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.
507 : 1, 3, 13, 39, 169, 507
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
786 : 1, 2, 3, 6, 131, 262, 393, 786
431 : 1, 431
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,480,786,431, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
480:2x 2x 2x 2x 2x 3x 5
786:2x 3x 131
431:431
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 3 = 18
Therefore, the value for common factors is 18.
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 = 82442093760/(1x18)
LCM = 82442093760/18
LCM = 4580116320
Thus, we can understand that the LCM of 507,480,786,431 is 4580116320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 507, 480, 786, 431?
Answer: LCM of 507, 480, 786, 431 is 4580116320.
2. How to calculate the LCM of 507, 480, 786, 431?
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 507, 480, 786, 431.
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}.