Find the LCM of 829, 135, 837, 684, 500 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 829, 135, 837, 684, 500. So, keep reading to learn more.
Given numbers are 829,135,837,684,500
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 829,135,837,684,500 is 6591793500.
Find LCM of 829,135,837,684,500 with Prime Factorization
2 | 829, 135, 837, 684, 500 |
2 | 829, 135, 837, 342, 250 |
3 | 829, 135, 837, 171, 125 |
3 | 829, 45, 279, 57, 125 |
3 | 829, 15, 93, 19, 125 |
5 | 829, 5, 31, 19, 125 |
829, 1, 31, 19, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 829 x 1 x 31 x 19 x 25 = 6591793500
Therefore, the lowest common multiple of 829,135,837,684,500 is 6591793500.
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.
829 x 135 x 837 x 684 x 500 = 32036116410000
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.
829 : 1, 829
135 : 1, 3, 5, 9, 15, 27, 45, 135
837 : 1, 3, 9, 27, 31, 93, 279, 837
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,135,837,684,500, is 1.
Now, the common factors can be found like this.
829:829
135:3x 3x 3x 5
837:3x 3x 3x 31
684:2x 2x 3x 3x 19
500:2x 2x 5x 5x 5
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 3x 3x 3x 5 = 4860
Therefore, the value for common factors is 4860.
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 = 32036116410000/(1x4860)
LCM = 32036116410000/4860
LCM = 6591793500
Thus, we can understand that the LCM of 829,135,837,684,500 is 6591793500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 829, 135, 837, 684, 500?
Answer: LCM of 829, 135, 837, 684, 500 is 6591793500.
2. How to calculate the LCM of 829, 135, 837, 684, 500?
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 829, 135, 837, 684, 500.
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}.