Find the LCM of 937, 338, 205, 676, 786 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 937, 338, 205, 676, 786. So, keep reading to learn more.
Given numbers are 937,338,205,676,786
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 937,338,205,676,786 is 51030837780.
Find LCM of 937,338,205,676,786 with Prime Factorization
2 | 937, 338, 205, 676, 786 |
13 | 937, 169, 205, 338, 393 |
13 | 937, 13, 205, 26, 393 |
937, 1, 205, 2, 393 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 13 x 937 x 1 x 205 x 2 x 393 = 51030837780
Therefore, the lowest common multiple of 937,338,205,676,786 is 51030837780.
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.
937 x 338 x 205 x 676 x 786 = 34496846339280
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.
937 : 1, 937
338 : 1, 2, 13, 26, 169, 338
205 : 1, 5, 41, 205
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
786 : 1, 2, 3, 6, 131, 262, 393, 786
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 937,338,205,676,786, is 1.
Now, the common factors can be found like this.
937:937
338:2x 13x 13
205:5x 41
676:2x 2x 13x 13
786:2x 3x 131
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 13x 13 = 676
Therefore, the value for common factors is 676.
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 = 34496846339280/(1x676)
LCM = 34496846339280/676
LCM = 51030837780
Thus, we can understand that the LCM of 937,338,205,676,786 is 51030837780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 937, 338, 205, 676, 786?
Answer: LCM of 937, 338, 205, 676, 786 is 51030837780.
2. How to calculate the LCM of 937, 338, 205, 676, 786?
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 937, 338, 205, 676, 786.
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}.