Find the LCM of 682, 958, 934, 589, 744 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, 958, 934, 589, 744. So, keep reading to learn more.
Given numbers are 682,958,934,589,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,958,934,589,744 is 34783366728.
Find LCM of 682,958,934,589,744 with Prime Factorization
2 | 682, 958, 934, 589, 744 |
31 | 341, 479, 467, 589, 372 |
11, 479, 467, 19, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 11 x 479 x 467 x 19 x 12 = 34783366728
Therefore, the lowest common multiple of 682,958,934,589,744 is 34783366728.
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 958 x 934 x 589 x 744 = 267414523404864
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
958 : 1, 2, 479, 958
934 : 1, 2, 467, 934
589 : 1, 19, 31, 589
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,958,934,589,744, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
958:2x 479
934:2x 467
589:19x 31
744:2x 2x 2x 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 2x 31x 31 = 7688
Therefore, the value for common factors is 7688.
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 = 267414523404864/(1x7688)
LCM = 267414523404864/7688
LCM = 34783366728
Thus, we can understand that the LCM of 682,958,934,589,744 is 34783366728.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 682, 958, 934, 589, 744?
Answer: LCM of 682, 958, 934, 589, 744 is 34783366728.
2. How to calculate the LCM of 682, 958, 934, 589, 744?
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, 958, 934, 589, 744.
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}.