Find the LCM of 793, 887, 732, 671, 261 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, 887, 732, 671, 261. So, keep reading to learn more.
Given numbers are 793,887,732,671,261
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,887,732,671,261 is 8077742244.
Find LCM of 793,887,732,671,261 with Prime Factorization
3 | 793, 887, 732, 671, 261 |
61 | 793, 887, 244, 671, 87 |
13, 887, 4, 11, 87 |
Multiply the prime numbers at the bottom and the left side.
3 x 61 x 13 x 887 x 4 x 11 x 87 = 8077742244
Therefore, the lowest common multiple of 793,887,732,671,261 is 8077742244.
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 887 x 732 x 671 x 261 = 90171836669772
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
887 : 1, 887
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
671 : 1, 11, 61, 671
261 : 1, 3, 9, 29, 87, 261
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,887,732,671,261, is 1.
Now, the common factors can be found like this.
793:13x 61
887:887
732:2x 2x 3x 61
671:11x 61
261:3x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 61x 61 = 11163
Therefore, the value for common factors is 11163.
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 = 90171836669772/(1x11163)
LCM = 90171836669772/11163
LCM = 8077742244
Thus, we can understand that the LCM of 793,887,732,671,261 is 8077742244.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 793, 887, 732, 671, 261?
Answer: LCM of 793, 887, 732, 671, 261 is 8077742244.
2. How to calculate the LCM of 793, 887, 732, 671, 261?
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, 887, 732, 671, 261.
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}.