Find the LCM of 115, 845, 123, 570, 576 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 115, 845, 123, 570, 576. So, keep reading to learn more.
Given numbers are 115,845,123,570,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 115,845,123,570,576 is 8720562240.
Find LCM of 115,845,123,570,576 with Prime Factorization
2 | 115, 845, 123, 570, 576 |
3 | 115, 845, 123, 285, 288 |
5 | 115, 845, 41, 95, 96 |
23, 169, 41, 19, 96 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 169 x 41 x 19 x 96 = 8720562240
Therefore, the lowest common multiple of 115,845,123,570,576 is 8720562240.
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.
115 x 845 x 123 x 570 x 576 = 3924253008000
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.
115 : 1, 5, 23, 115
845 : 1, 5, 13, 65, 169, 845
123 : 1, 3, 41, 123
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,845,123,570,576, is 1.
Now, the common factors can be found like this.
115:5x 23
845:5x 13x 13
123:3x 41
570:2x 3x 5x 19
576:2x 2x 2x 2x 2x 2x 3x 3
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 3x 5x 5 = 450
Therefore, the value for common factors is 450.
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 = 3924253008000/(1x450)
LCM = 3924253008000/450
LCM = 8720562240
Thus, we can understand that the LCM of 115,845,123,570,576 is 8720562240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 115, 845, 123, 570, 576?
Answer: LCM of 115, 845, 123, 570, 576 is 8720562240.
2. How to calculate the LCM of 115, 845, 123, 570, 576?
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 115, 845, 123, 570, 576.
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}.