LCM of 793, 516, 843, 156, 861
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 793, 516, 843, 156, 861 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 793, 516, 843, 156, 861. So, keep reading to learn more.
Given numbers are 793,516,843,156,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,516,843,156,861 is 32999784636.
Find LCM of 793,516,843,156,861 with Prime Factorization
| 2 | 793, 516, 843, 156, 861 |
| 2 | 793, 258, 843, 78, 861 |
| 3 | 793, 129, 843, 39, 861 |
| 13 | 793, 43, 281, 13, 287 |
| 61, 43, 281, 1, 287 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 61 x 43 x 281 x 1 x 287 = 32999784636
Therefore, the lowest common multiple of 793,516,843,156,861 is 32999784636.
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.
793 x 516 x 843 x 156 x 861 = 46331697628944
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.
793 : 1, 13, 61, 793
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
843 : 1, 3, 281, 843
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,516,843,156,861, is 1.
Now, the common factors can be found like this.
793:13x 61
516:2x 2x 3x 43
843:3x 281
156:2x 2x 3x 13
861:3x 7x 41
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 13 = 1404
Therefore, the value for common factors is 1404.
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 = 46331697628944/(1x1404)
LCM = 46331697628944/1404
LCM = 32999784636
Thus, we can understand that the LCM of 793,516,843,156,861 is 32999784636.
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FAQs on LCM of 793, 516, 843, 156, 861
1. What is the LCM of 793, 516, 843, 156, 861?
Answer: LCM of 793, 516, 843, 156, 861 is 32999784636.
2. How to calculate the LCM of 793, 516, 843, 156, 861?
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 793, 516, 843, 156, 861.
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}.