LCM of 682, 293, 506, 583, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 293, 506, 583, 704 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, 293, 506, 583, 704. So, keep reading to learn more.
Given numbers are 682,293,506,583,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,293,506,583,704 is 7794812608.
Find LCM of 682,293,506,583,704 with Prime Factorization
| 2 | 682, 293, 506, 583, 704 |
| 11 | 341, 293, 253, 583, 352 |
| 31, 293, 23, 53, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 31 x 293 x 23 x 53 x 32 = 7794812608
Therefore, the lowest common multiple of 682,293,506,583,704 is 7794812608.
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 293 x 506 x 583 x 704 = 41499582324992
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
293 : 1, 293
506 : 1, 2, 11, 22, 23, 46, 253, 506
583 : 1, 11, 53, 583
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,293,506,583,704, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
293:293
506:2x 11x 23
583:11x 53
704:2x 2x 2x 2x 2x 2x 11
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 11x 11 = 5324
Therefore, the value for common factors is 5324.
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 = 41499582324992/(1x5324)
LCM = 41499582324992/5324
LCM = 7794812608
Thus, we can understand that the LCM of 682,293,506,583,704 is 7794812608.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 682, 293, 506, 583, 704
1. What is the LCM of 682, 293, 506, 583, 704?
Answer: LCM of 682, 293, 506, 583, 704 is 7794812608.
2. How to calculate the LCM of 682, 293, 506, 583, 704?
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, 293, 506, 583, 704.
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}.