LCM of 806, 793, 837, 639
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 806, 793, 837, 639 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 806, 793, 837, 639. So, keep reading to learn more.
Given numbers are 806,793,837,639
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 806,793,837,639 is 94251222.
Find LCM of 806,793,837,639 with Prime Factorization
| 3 | 806, 793, 837, 639 |
| 3 | 806, 793, 279, 213 |
| 13 | 806, 793, 93, 71 |
| 31 | 62, 61, 93, 71 |
| 2, 61, 3, 71 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 31 x 2 x 61 x 3 x 71 = 94251222
Therefore, the lowest common multiple of 806,793,837,639 is 94251222.
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.
806 x 793 x 837 x 639 = 341849182194
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.
806 : 1, 2, 13, 26, 31, 62, 403, 806
793 : 1, 13, 61, 793
837 : 1, 3, 9, 27, 31, 93, 279, 837
639 : 1, 3, 9, 71, 213, 639
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,793,837,639, is 1.
Now, the common factors can be found like this.
806:2x 13x 31
793:13x 61
837:3x 3x 3x 31
639:3x 3x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13x 31 = 3627
Therefore, the value for common factors is 3627.
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 = 341849182194/(1x3627)
LCM = 341849182194/3627
LCM = 94251222
Thus, we can understand that the LCM of 806,793,837,639 is 94251222.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 806, 793, 837, 639
1. What is the LCM of 806, 793, 837, 639?
Answer: LCM of 806, 793, 837, 639 is 94251222.
2. How to calculate the LCM of 806, 793, 837, 639?
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 806, 793, 837, 639.
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}.