Find the LCM of 260, 819, 977, 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 260, 819, 977, 977. So, keep reading to learn more.
Given numbers are 260,819,977,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 260,819,977,977 is 16003260.
Find LCM of 260,819,977,977 with Prime Factorization
13 | 260, 819, 977, 977 |
977 | 20, 63, 977, 977 |
20, 63, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
13 x 977 x 20 x 63 x 1 x 1 = 16003260
Therefore, the lowest common multiple of 260,819,977,977 is 16003260.
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.
260 x 819 x 977 x 977 = 203257405260
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.
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
977 : 1, 977
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,819,977,977, is 1.
Now, the common factors can be found like this.
260:2x 2x 5x 13
819:3x 3x 7x 13
977:977
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.
13x 977 = 12701
Therefore, the value for common factors is 12701.
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 = 203257405260/(1x12701)
LCM = 203257405260/12701
LCM = 16003260
Thus, we can understand that the LCM of 260,819,977,977 is 16003260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 260, 819, 977, 977?
Answer: LCM of 260, 819, 977, 977 is 16003260.
2. How to calculate the LCM of 260, 819, 977, 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 260, 819, 977, 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}.