Find the LCM of 939, 115, 477, 759, 400 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 939, 115, 477, 759, 400. So, keep reading to learn more.
Given numbers are 939,115,477,759,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,115,477,759,400 is 15109261200.
Find LCM of 939,115,477,759,400 with Prime Factorization
3 | 939, 115, 477, 759, 400 |
5 | 313, 115, 159, 253, 400 |
23 | 313, 23, 159, 253, 80 |
313, 1, 159, 11, 80 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 23 x 313 x 1 x 159 x 11 x 80 = 15109261200
Therefore, the lowest common multiple of 939,115,477,759,400 is 15109261200.
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.
939 x 115 x 477 x 759 x 400 = 15638085342000
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.
939 : 1, 3, 313, 939
115 : 1, 5, 23, 115
477 : 1, 3, 9, 53, 159, 477
759 : 1, 3, 11, 23, 33, 69, 253, 759
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,115,477,759,400, is 1.
Now, the common factors can be found like this.
939:3x 313
115:5x 23
477:3x 3x 53
759:3x 11x 23
400:2x 2x 2x 2x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 23 = 1035
Therefore, the value for common factors is 1035.
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 = 15638085342000/(1x1035)
LCM = 15638085342000/1035
LCM = 15109261200
Thus, we can understand that the LCM of 939,115,477,759,400 is 15109261200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 939, 115, 477, 759, 400?
Answer: LCM of 939, 115, 477, 759, 400 is 15109261200.
2. How to calculate the LCM of 939, 115, 477, 759, 400?
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 939, 115, 477, 759, 400.
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}.