Find the LCM of 834, 583, 609, 954, 832 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 834, 583, 609, 954, 832. So, keep reading to learn more.
Given numbers are 834,583,609,954,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,583,609,954,832 is 123181426368.
Find LCM of 834,583,609,954,832 with Prime Factorization
2 | 834, 583, 609, 954, 832 |
3 | 417, 583, 609, 477, 416 |
53 | 139, 583, 203, 159, 416 |
139, 11, 203, 3, 416 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 53 x 139 x 11 x 203 x 3 x 416 = 123181426368
Therefore, the lowest common multiple of 834,583,609,954,832 is 123181426368.
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.
834 x 583 x 609 x 954 x 832 = 235030161510144
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
583 : 1, 11, 53, 583
609 : 1, 3, 7, 21, 29, 87, 203, 609
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,583,609,954,832, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
583:11x 53
609:3x 7x 29
954:2x 3x 3x 53
832:2x 2x 2x 2x 2x 2x 13
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 53 = 1908
Therefore, the value for common factors is 1908.
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 = 235030161510144/(1x1908)
LCM = 235030161510144/1908
LCM = 123181426368
Thus, we can understand that the LCM of 834,583,609,954,832 is 123181426368.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 834, 583, 609, 954, 832?
Answer: LCM of 834, 583, 609, 954, 832 is 123181426368.
2. How to calculate the LCM of 834, 583, 609, 954, 832?
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 834, 583, 609, 954, 832.
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}.