Find the LCM of 793, 977, 715, 981 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, 977, 715, 981. So, keep reading to learn more.
Given numbers are 793,977,715,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,977,715,981 is 41802229755.
Find LCM of 793,977,715,981 with Prime Factorization
13 | 793, 977, 715, 981 |
61, 977, 55, 981 |
Multiply the prime numbers at the bottom and the left side.
13 x 61 x 977 x 55 x 981 = 41802229755
Therefore, the lowest common multiple of 793,977,715,981 is 41802229755.
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 977 x 715 x 981 = 543428986815
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
977 : 1, 977
715 : 1, 5, 11, 13, 55, 65, 143, 715
981 : 1, 3, 9, 109, 327, 981
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,977,715,981, is 1.
Now, the common factors can be found like this.
793:13x 61
977:977
715:5x 11x 13
981:3x 3x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 543428986815/(1x13)
LCM = 543428986815/13
LCM = 41802229755
Thus, we can understand that the LCM of 793,977,715,981 is 41802229755.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 793, 977, 715, 981?
Answer: LCM of 793, 977, 715, 981 is 41802229755.
2. How to calculate the LCM of 793, 977, 715, 981?
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, 977, 715, 981.
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}.