Find the LCM of 821, 646, 484, 813, 627 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 821, 646, 484, 813, 627. So, keep reading to learn more.
Given numbers are 821,646,484,813,627
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,646,484,813,627 is 104347389036.
Find LCM of 821,646,484,813,627 with Prime Factorization
2 | 821, 646, 484, 813, 627 |
3 | 821, 323, 242, 813, 627 |
11 | 821, 323, 242, 271, 209 |
19 | 821, 323, 22, 271, 19 |
821, 17, 22, 271, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 821 x 17 x 22 x 271 x 1 = 104347389036
Therefore, the lowest common multiple of 821,646,484,813,627 is 104347389036.
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.
821 x 646 x 484 x 813 x 627 = 130851625851144
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.
821 : 1, 821
646 : 1, 2, 17, 19, 34, 38, 323, 646
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
813 : 1, 3, 271, 813
627 : 1, 3, 11, 19, 33, 57, 209, 627
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,646,484,813,627, is 1.
Now, the common factors can be found like this.
821:821
646:2x 17x 19
484:2x 2x 11x 11
813:3x 271
627:3x 11x 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 3x 11x 19 = 1254
Therefore, the value for common factors is 1254.
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 = 130851625851144/(1x1254)
LCM = 130851625851144/1254
LCM = 104347389036
Thus, we can understand that the LCM of 821,646,484,813,627 is 104347389036.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 821, 646, 484, 813, 627?
Answer: LCM of 821, 646, 484, 813, 627 is 104347389036.
2. How to calculate the LCM of 821, 646, 484, 813, 627?
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 821, 646, 484, 813, 627.
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}.