Find the LCM of 229, 826, 829, 794, 828 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 229, 826, 829, 794, 828. So, keep reading to learn more.
Given numbers are 229,826,829,794,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 229,826,829,794,828 is 25772758726428.
Find LCM of 229,826,829,794,828 with Prime Factorization
2 | 229, 826, 829, 794, 828 |
229, 413, 829, 397, 414 |
Multiply the prime numbers at the bottom and the left side.
2 x 229 x 413 x 829 x 397 x 414 = 25772758726428
Therefore, the lowest common multiple of 229,826,829,794,828 is 25772758726428.
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.
229 x 826 x 829 x 794 x 828 = 103091034905712
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.
229 : 1, 229
826 : 1, 2, 7, 14, 59, 118, 413, 826
829 : 1, 829
794 : 1, 2, 397, 794
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,826,829,794,828, is 1.
Now, the common factors can be found like this.
229:229
826:2x 7x 59
829:829
794:2x 397
828:2x 2x 3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 103091034905712/(1x4)
LCM = 103091034905712/4
LCM = 25772758726428
Thus, we can understand that the LCM of 229,826,829,794,828 is 25772758726428.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 229, 826, 829, 794, 828?
Answer: LCM of 229, 826, 829, 794, 828 is 25772758726428.
2. How to calculate the LCM of 229, 826, 829, 794, 828?
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 229, 826, 829, 794, 828.
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}.