Find the LCM of 937, 121, 793, 438, 684 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, 121, 793, 438, 684. So, keep reading to learn more.
Given numbers are 937,121,793,438,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 937,121,793,438,684 is 4489284308652.
Find LCM of 937,121,793,438,684 with Prime Factorization
2 | 937, 121, 793, 438, 684 |
3 | 937, 121, 793, 219, 342 |
937, 121, 793, 73, 114 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 937 x 121 x 793 x 73 x 114 = 4489284308652
Therefore, the lowest common multiple of 937,121,793,438,684 is 4489284308652.
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 121 x 793 x 438 x 684 = 26935705851912
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
121 : 1, 11, 121
793 : 1, 13, 61, 793
438 : 1, 2, 3, 6, 73, 146, 219, 438
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 937,121,793,438,684, is 1.
Now, the common factors can be found like this.
937:937
121:11x 11
793:13x 61
438:2x 3x 73
684:2x 2x 3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 26935705851912/(1x6)
LCM = 26935705851912/6
LCM = 4489284308652
Thus, we can understand that the LCM of 937,121,793,438,684 is 4489284308652.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 937, 121, 793, 438, 684?
Answer: LCM of 937, 121, 793, 438, 684 is 4489284308652.
2. How to calculate the LCM of 937, 121, 793, 438, 684?
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, 121, 793, 438, 684.
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}.