Find the LCM of 572, 691, 813, 510 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 572, 691, 813, 510. So, keep reading to learn more.
Given numbers are 572,691,813,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,691,813,510 is 27313889460.
Find LCM of 572,691,813,510 with Prime Factorization
2 | 572, 691, 813, 510 |
3 | 286, 691, 813, 255 |
286, 691, 271, 85 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 286 x 691 x 271 x 85 = 27313889460
Therefore, the lowest common multiple of 572,691,813,510 is 27313889460.
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.
572 x 691 x 813 x 510 = 163883336760
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
691 : 1, 691
813 : 1, 3, 271, 813
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,691,813,510, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
691:691
813:3x 271
510:2x 3x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 163883336760/(1x6)
LCM = 163883336760/6
LCM = 27313889460
Thus, we can understand that the LCM of 572,691,813,510 is 27313889460.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 572, 691, 813, 510?
Answer: LCM of 572, 691, 813, 510 is 27313889460.
2. How to calculate the LCM of 572, 691, 813, 510?
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 572, 691, 813, 510.
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}.