Find the LCM of 828, 459, 452, 883, 591 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 828, 459, 452, 883, 591. So, keep reading to learn more.
Given numbers are 828,459,452,883,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,459,452,883,591 is 830053119564.
Find LCM of 828,459,452,883,591 with Prime Factorization
2 | 828, 459, 452, 883, 591 |
2 | 414, 459, 226, 883, 591 |
3 | 207, 459, 113, 883, 591 |
3 | 69, 153, 113, 883, 197 |
23, 51, 113, 883, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 23 x 51 x 113 x 883 x 197 = 830053119564
Therefore, the lowest common multiple of 828,459,452,883,591 is 830053119564.
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.
828 x 459 x 452 x 883 x 591 = 89645736912912
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
459 : 1, 3, 9, 17, 27, 51, 153, 459
452 : 1, 2, 4, 113, 226, 452
883 : 1, 883
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,459,452,883,591, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
459:3x 3x 3x 17
452:2x 2x 113
883:883
591:3x 197
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 89645736912912/(1x108)
LCM = 89645736912912/108
LCM = 830053119564
Thus, we can understand that the LCM of 828,459,452,883,591 is 830053119564.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 828, 459, 452, 883, 591?
Answer: LCM of 828, 459, 452, 883, 591 is 830053119564.
2. How to calculate the LCM of 828, 459, 452, 883, 591?
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 828, 459, 452, 883, 591.
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}.