Find the LCM of 845, 949, 111, 977 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 845, 949, 111, 977. So, keep reading to learn more.
Given numbers are 845,949,111,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,949,111,977 is 6689553195.
Find LCM of 845,949,111,977 with Prime Factorization
13 | 845, 949, 111, 977 |
65, 73, 111, 977 |
Multiply the prime numbers at the bottom and the left side.
13 x 65 x 73 x 111 x 977 = 6689553195
Therefore, the lowest common multiple of 845,949,111,977 is 6689553195.
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.
845 x 949 x 111 x 977 = 86964191535
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.
845 : 1, 5, 13, 65, 169, 845
949 : 1, 13, 73, 949
111 : 1, 3, 37, 111
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,949,111,977, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
949:13x 73
111:3x 37
977:977
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 = 86964191535/(1x13)
LCM = 86964191535/13
LCM = 6689553195
Thus, we can understand that the LCM of 845,949,111,977 is 6689553195.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 845, 949, 111, 977?
Answer: LCM of 845, 949, 111, 977 is 6689553195.
2. How to calculate the LCM of 845, 949, 111, 977?
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 845, 949, 111, 977.
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}.