Find the LCM of 793, 2928, 929 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 793, 2928, 929. So, keep reading to learn more.
Given numbers are 793,2928,929
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,2928,929 is 35361456.
Find LCM of 793,2928,929 with Prime Factorization
61 | 793, 2928, 929 |
13, 48, 929 |
Multiply the prime numbers at the bottom and the left side.
61 x 13 x 48 x 929 = 35361456
Therefore, the lowest common multiple of 793,2928,929 is 35361456.
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.
793 x 2928 x 929 = 2157048816
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.
793 : 1, 13, 61, 793
2928 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 61, 122, 183, 244, 366, 488, 732, 976, 1464, 2928
929 : 1, 929
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,2928,929, is 1.
Now, the common factors can be found like this.
793:13x 61
2928:2x 2x 2x 2x 3x 61
929:929
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
61 = 61
Therefore, the value for common factors is 61.
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 = 2157048816/(1x61)
LCM = 2157048816/61
LCM = 35361456
Thus, we can understand that the LCM of 793,2928,929 is 35361456.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 793, 2928, 929?
Answer: LCM of 793, 2928, 929 is 35361456.
2. How to calculate the LCM of 793, 2928, 929?
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 793, 2928, 929.
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}.