Find the LCM of 115, 923, 388, 351 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, 923, 388, 351. So, keep reading to learn more.
Given numbers are 115,923,388,351
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 115,923,388,351 is 1111975020.
Find LCM of 115,923,388,351 with Prime Factorization
13 | 115, 923, 388, 351 |
115, 71, 388, 27 |
Multiply the prime numbers at the bottom and the left side.
13 x 115 x 71 x 388 x 27 = 1111975020
Therefore, the lowest common multiple of 115,923,388,351 is 1111975020.
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 923 x 388 x 351 = 14455675260
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
923 : 1, 13, 71, 923
388 : 1, 2, 4, 97, 194, 388
351 : 1, 3, 9, 13, 27, 39, 117, 351
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,923,388,351, is 1.
Now, the common factors can be found like this.
115:5x 23
923:13x 71
388:2x 2x 97
351:3x 3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 14455675260/(1x13)
LCM = 14455675260/13
LCM = 1111975020
Thus, we can understand that the LCM of 115,923,388,351 is 1111975020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 115, 923, 388, 351?
Answer: LCM of 115, 923, 388, 351 is 1111975020.
2. How to calculate the LCM of 115, 923, 388, 351?
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, 923, 388, 351.
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}.