LCM of 682, 464, 585, 793, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 464, 585, 793, 902 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 682, 464, 585, 793, 902. So, keep reading to learn more.
Given numbers are 682,464,585,793,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,464,585,793,902 is 231495161040.
Find LCM of 682,464,585,793,902 with Prime Factorization
| 2 | 682, 464, 585, 793, 902 |
| 11 | 341, 232, 585, 793, 451 |
| 13 | 31, 232, 585, 793, 41 |
| 31, 232, 45, 61, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 31 x 232 x 45 x 61 x 41 = 231495161040
Therefore, the lowest common multiple of 682,464,585,793,902 is 231495161040.
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.
682 x 464 x 585 x 793 x 902 = 132415232114880
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
793 : 1, 13, 61, 793
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,464,585,793,902, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
464:2x 2x 2x 2x 29
585:3x 3x 5x 13
793:13x 61
902:2x 11x 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 11x 13 = 572
Therefore, the value for common factors is 572.
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 = 132415232114880/(1x572)
LCM = 132415232114880/572
LCM = 231495161040
Thus, we can understand that the LCM of 682,464,585,793,902 is 231495161040.
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FAQs on LCM of 682, 464, 585, 793, 902
1. What is the LCM of 682, 464, 585, 793, 902?
Answer: LCM of 682, 464, 585, 793, 902 is 231495161040.
2. How to calculate the LCM of 682, 464, 585, 793, 902?
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 682, 464, 585, 793, 902.
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}.