Find the LCM of 422, 422, 878, 908, 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 422, 422, 878, 908, 627. So, keep reading to learn more.
Given numbers are 422,422,878,908,627
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,422,878,908,627 is 52735171764.
Find LCM of 422,422,878,908,627 with Prime Factorization
2 | 422, 422, 878, 908, 627 |
211 | 211, 211, 439, 454, 627 |
1, 1, 439, 454, 627 |
Multiply the prime numbers at the bottom and the left side.
2 x 211 x 1 x 1 x 439 x 454 x 627 = 52735171764
Therefore, the lowest common multiple of 422,422,878,908,627 is 52735171764.
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.
422 x 422 x 878 x 908 x 627 = 89016969937632
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.
422 : 1, 2, 211, 422
422 : 1, 2, 211, 422
878 : 1, 2, 439, 878
908 : 1, 2, 4, 227, 454, 908
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 422,422,878,908,627, is 1.
Now, the common factors can be found like this.
422:2x 211
422:2x 211
878:2x 439
908:2x 2x 227
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 2x 2x 211 = 1688
Therefore, the value for common factors is 1688.
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 = 89016969937632/(1x1688)
LCM = 89016969937632/1688
LCM = 52735171764
Thus, we can understand that the LCM of 422,422,878,908,627 is 52735171764.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 422, 422, 878, 908, 627?
Answer: LCM of 422, 422, 878, 908, 627 is 52735171764.
2. How to calculate the LCM of 422, 422, 878, 908, 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 422, 422, 878, 908, 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}.