Find the LCM of 582, 339, 872, 957 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 582, 339, 872, 957. So, keep reading to learn more.
Given numbers are 582,339,872,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 582,339,872,957 is 9146998344.
Find LCM of 582,339,872,957 with Prime Factorization
2 | 582, 339, 872, 957 |
3 | 291, 339, 436, 957 |
97, 113, 436, 319 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 97 x 113 x 436 x 319 = 9146998344
Therefore, the lowest common multiple of 582,339,872,957 is 9146998344.
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.
582 x 339 x 872 x 957 = 164645970192
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.
582 : 1, 2, 3, 6, 97, 194, 291, 582
339 : 1, 3, 113, 339
872 : 1, 2, 4, 8, 109, 218, 436, 872
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,339,872,957, is 1.
Now, the common factors can be found like this.
582:2x 3x 97
339:3x 113
872:2x 2x 2x 109
957:3x 11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 164645970192/(1x18)
LCM = 164645970192/18
LCM = 9146998344
Thus, we can understand that the LCM of 582,339,872,957 is 9146998344.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 582, 339, 872, 957?
Answer: LCM of 582, 339, 872, 957 is 9146998344.
2. How to calculate the LCM of 582, 339, 872, 957?
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 582, 339, 872, 957.
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}.