Find the LCM of 662, 818, 561, 810, 494 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 662, 818, 561, 810, 494. So, keep reading to learn more.
Given numbers are 662,818,561,810,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 662,818,561,810,494 is 5064946711110.
Find LCM of 662,818,561,810,494 with Prime Factorization
2 | 662, 818, 561, 810, 494 |
3 | 331, 409, 561, 405, 247 |
331, 409, 187, 135, 247 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 331 x 409 x 187 x 135 x 247 = 5064946711110
Therefore, the lowest common multiple of 662,818,561,810,494 is 5064946711110.
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.
662 x 818 x 561 x 810 x 494 = 121558721066640
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.
662 : 1, 2, 331, 662
818 : 1, 2, 409, 818
561 : 1, 3, 11, 17, 33, 51, 187, 561
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
494 : 1, 2, 13, 19, 26, 38, 247, 494
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 662,818,561,810,494, is 1.
Now, the common factors can be found like this.
662:2x 331
818:2x 409
561:3x 11x 17
810:2x 3x 3x 3x 3x 5
494:2x 13x 19
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 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 121558721066640/(1x24)
LCM = 121558721066640/24
LCM = 5064946711110
Thus, we can understand that the LCM of 662,818,561,810,494 is 5064946711110.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 662, 818, 561, 810, 494?
Answer: LCM of 662, 818, 561, 810, 494 is 5064946711110.
2. How to calculate the LCM of 662, 818, 561, 810, 494?
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 662, 818, 561, 810, 494.
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}.