Find the LCM of 259, 116, 783, 131 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 259, 116, 783, 131. So, keep reading to learn more.
Given numbers are 259,116,783,131
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 259,116,783,131 is 106265628.
Find LCM of 259,116,783,131 with Prime Factorization
29 | 259, 116, 783, 131 |
259, 4, 27, 131 |
Multiply the prime numbers at the bottom and the left side.
29 x 259 x 4 x 27 x 131 = 106265628
Therefore, the lowest common multiple of 259,116,783,131 is 106265628.
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.
259 x 116 x 783 x 131 = 3081703212
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.
259 : 1, 7, 37, 259
116 : 1, 2, 4, 29, 58, 116
783 : 1, 3, 9, 27, 29, 87, 261, 783
131 : 1, 131
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,116,783,131, is 1.
Now, the common factors can be found like this.
259:7x 37
116:2x 2x 29
783:3x 3x 3x 29
131:131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29 = 29
Therefore, the value for common factors is 29.
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 = 3081703212/(1x29)
LCM = 3081703212/29
LCM = 106265628
Thus, we can understand that the LCM of 259,116,783,131 is 106265628.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 259, 116, 783, 131?
Answer: LCM of 259, 116, 783, 131 is 106265628.
2. How to calculate the LCM of 259, 116, 783, 131?
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 259, 116, 783, 131.
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}.