Find the LCM of 682, 990, 940, 834, 376 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, 990, 940, 834, 376. So, keep reading to learn more.
Given numbers are 682,990,940,834,376
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,990,940,834,376 is 801991080.
Find LCM of 682,990,940,834,376 with Prime Factorization
2 | 682, 990, 940, 834, 376 |
2 | 341, 495, 470, 417, 188 |
3 | 341, 495, 235, 417, 94 |
5 | 341, 165, 235, 139, 94 |
11 | 341, 33, 47, 139, 94 |
47 | 31, 3, 47, 139, 94 |
31, 3, 1, 139, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 47 x 31 x 3 x 1 x 139 x 2 = 801991080
Therefore, the lowest common multiple of 682,990,940,834,376 is 801991080.
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 990 x 940 x 834 x 376 = 199022106412800
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
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
834 : 1, 2, 3, 6, 139, 278, 417, 834
376 : 1, 2, 4, 8, 47, 94, 188, 376
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,990,940,834,376, is 2.
Now, the common factors can be found like this.
682:2x 11x 31
990:2x 3x 3x 5x 11
940:2x 2x 5x 47
834:2x 3x 139
376:2x 2x 2x 47
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 2x 3x 5x 11x 47 = 124080
Therefore, the value for common factors is 124080.
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 = 199022106412800/(2x124080)
LCM = 199022106412800/248160
LCM = 801991080
Thus, we can understand that the LCM of 682,990,940,834,376 is 801991080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 682, 990, 940, 834, 376?
Answer: LCM of 682, 990, 940, 834, 376 is 801991080.
2. How to calculate the LCM of 682, 990, 940, 834, 376?
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, 990, 940, 834, 376.
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}.