LCM of 283, 809, 748, 682, 558
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 283, 809, 748, 682, 558 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 283, 809, 748, 682, 558. So, keep reading to learn more.
Given numbers are 283,809,748,682,558
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 283,809,748,682,558 is 47779407324.
Find LCM of 283,809,748,682,558 with Prime Factorization
| 2 | 283, 809, 748, 682, 558 |
| 11 | 283, 809, 374, 341, 279 |
| 31 | 283, 809, 34, 31, 279 |
| 283, 809, 34, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 31 x 283 x 809 x 34 x 1 x 9 = 47779407324
Therefore, the lowest common multiple of 283,809,748,682,558 is 47779407324.
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.
283 x 809 x 748 x 682 x 558 = 65171111589936
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.
283 : 1, 283
809 : 1, 809
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
682 : 1, 2, 11, 22, 31, 62, 341, 682
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,809,748,682,558, is 1.
Now, the common factors can be found like this.
283:283
809:809
748:2x 2x 11x 17
682:2x 11x 31
558:2x 3x 3x 31
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 11x 31 = 1364
Therefore, the value for common factors is 1364.
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 = 65171111589936/(1x1364)
LCM = 65171111589936/1364
LCM = 47779407324
Thus, we can understand that the LCM of 283,809,748,682,558 is 47779407324.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 283, 809, 748, 682, 558
1. What is the LCM of 283, 809, 748, 682, 558?
Answer: LCM of 283, 809, 748, 682, 558 is 47779407324.
2. How to calculate the LCM of 283, 809, 748, 682, 558?
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 283, 809, 748, 682, 558.
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}.