Find the LCM of 448, 589, 375, 779 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 448, 589, 375, 779. So, keep reading to learn more.
Given numbers are 448,589,375,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 448,589,375,779 is 4057032000.
Find LCM of 448,589,375,779 with Prime Factorization
19 | 448, 589, 375, 779 |
448, 31, 375, 41 |
Multiply the prime numbers at the bottom and the left side.
19 x 448 x 31 x 375 x 41 = 4057032000
Therefore, the lowest common multiple of 448,589,375,779 is 4057032000.
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.
448 x 589 x 375 x 779 = 77083608000
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.
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
589 : 1, 19, 31, 589
375 : 1, 3, 5, 15, 25, 75, 125, 375
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,589,375,779, is 1.
Now, the common factors can be found like this.
448:2x 2x 2x 2x 2x 2x 7
589:19x 31
375:3x 5x 5x 5
779:19x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 77083608000/(1x19)
LCM = 77083608000/19
LCM = 4057032000
Thus, we can understand that the LCM of 448,589,375,779 is 4057032000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 448, 589, 375, 779?
Answer: LCM of 448, 589, 375, 779 is 4057032000.
2. How to calculate the LCM of 448, 589, 375, 779?
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 448, 589, 375, 779.
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}.