LCM of 667, 621, 854, 793
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 667, 621, 854, 793 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 667, 621, 854, 793. So, keep reading to learn more.
Given numbers are 667,621,854,793
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,621,854,793 is 199935918.
Find LCM of 667,621,854,793 with Prime Factorization
| 23 | 667, 621, 854, 793 |
| 61 | 29, 27, 854, 793 |
| 29, 27, 14, 13 |
Multiply the prime numbers at the bottom and the left side.
23 x 61 x 29 x 27 x 14 x 13 = 199935918
Therefore, the lowest common multiple of 667,621,854,793 is 199935918.
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.
667 x 621 x 854 x 793 = 280510092954
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.
667 : 1, 23, 29, 667
621 : 1, 3, 9, 23, 27, 69, 207, 621
854 : 1, 2, 7, 14, 61, 122, 427, 854
793 : 1, 13, 61, 793
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,621,854,793, is 1.
Now, the common factors can be found like this.
667:23x 29
621:3x 3x 3x 23
854:2x 7x 61
793:13x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23x 61 = 1403
Therefore, the value for common factors is 1403.
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 = 280510092954/(1x1403)
LCM = 280510092954/1403
LCM = 199935918
Thus, we can understand that the LCM of 667,621,854,793 is 199935918.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 667, 621, 854, 793
1. What is the LCM of 667, 621, 854, 793?
Answer: LCM of 667, 621, 854, 793 is 199935918.
2. How to calculate the LCM of 667, 621, 854, 793?
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 667, 621, 854, 793.
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}.