Find the LCM of 659, 429, 309, 259 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 659, 429, 309, 259. So, keep reading to learn more.
Given numbers are 659,429,309,259
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 659,429,309,259 is 7541881347.
Find LCM of 659,429,309,259 with Prime Factorization
3 | 659, 429, 309, 259 |
659, 143, 103, 259 |
Multiply the prime numbers at the bottom and the left side.
3 x 659 x 143 x 103 x 259 = 7541881347
Therefore, the lowest common multiple of 659,429,309,259 is 7541881347.
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.
659 x 429 x 309 x 259 = 22625644041
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.
659 : 1, 659
429 : 1, 3, 11, 13, 33, 39, 143, 429
309 : 1, 3, 103, 309
259 : 1, 7, 37, 259
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,429,309,259, is 1.
Now, the common factors can be found like this.
659:659
429:3x 11x 13
309:3x 103
259:7x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 22625644041/(1x3)
LCM = 22625644041/3
LCM = 7541881347
Thus, we can understand that the LCM of 659,429,309,259 is 7541881347.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 659, 429, 309, 259?
Answer: LCM of 659, 429, 309, 259 is 7541881347.
2. How to calculate the LCM of 659, 429, 309, 259?
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 659, 429, 309, 259.
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}.