LCM of 682, 748, 589, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 748, 589, 414 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, 748, 589, 414. So, keep reading to learn more.
Given numbers are 682,748,589,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,748,589,414 is 91198404.
Find LCM of 682,748,589,414 with Prime Factorization
| 2 | 682, 748, 589, 414 |
| 11 | 341, 374, 589, 207 |
| 31 | 31, 34, 589, 207 |
| 1, 34, 19, 207 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 31 x 1 x 34 x 19 x 207 = 91198404
Therefore, the lowest common multiple of 682,748,589,414 is 91198404.
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 748 x 589 x 414 = 124394623056
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
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
589 : 1, 19, 31, 589
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,748,589,414, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
748:2x 2x 11x 17
589:19x 31
414:2x 3x 3x 23
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 = 124394623056/(1x1364)
LCM = 124394623056/1364
LCM = 91198404
Thus, we can understand that the LCM of 682,748,589,414 is 91198404.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 682, 748, 589, 414
1. What is the LCM of 682, 748, 589, 414?
Answer: LCM of 682, 748, 589, 414 is 91198404.
2. How to calculate the LCM of 682, 748, 589, 414?
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, 748, 589, 414.
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}.