LCM of 497, 682, 204, 113, 806
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 497, 682, 204, 113, 806 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 497, 682, 204, 113, 806. So, keep reading to learn more.
Given numbers are 497,682,204,113,806
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 497,682,204,113,806 is 50788189452.
Find LCM of 497,682,204,113,806 with Prime Factorization
| 2 | 497, 682, 204, 113, 806 |
| 31 | 497, 341, 102, 113, 403 |
| 497, 11, 102, 113, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 497 x 11 x 102 x 113 x 13 = 50788189452
Therefore, the lowest common multiple of 497,682,204,113,806 is 50788189452.
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.
497 x 682 x 204 x 113 x 806 = 6297735492048
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.
497 : 1, 7, 71, 497
682 : 1, 2, 11, 22, 31, 62, 341, 682
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
113 : 1, 113
806 : 1, 2, 13, 26, 31, 62, 403, 806
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,682,204,113,806, is 1.
Now, the common factors can be found like this.
497:7x 71
682:2x 11x 31
204:2x 2x 3x 17
113:113
806:2x 13x 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 31 = 124
Therefore, the value for common factors is 124.
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 = 6297735492048/(1x124)
LCM = 6297735492048/124
LCM = 50788189452
Thus, we can understand that the LCM of 497,682,204,113,806 is 50788189452.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 497, 682, 204, 113, 806
1. What is the LCM of 497, 682, 204, 113, 806?
Answer: LCM of 497, 682, 204, 113, 806 is 50788189452.
2. How to calculate the LCM of 497, 682, 204, 113, 806?
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 497, 682, 204, 113, 806.
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}.