Find the LCM of 888, 801, 720, 135, 795 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 888, 801, 720, 135, 795. So, keep reading to learn more.
Given numbers are 888,801,720,135,795
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 888,801,720,135,795 is 376982640.
Find LCM of 888,801,720,135,795 with Prime Factorization
2 | 888, 801, 720, 135, 795 |
2 | 444, 801, 360, 135, 795 |
2 | 222, 801, 180, 135, 795 |
3 | 111, 801, 90, 135, 795 |
3 | 37, 267, 30, 45, 265 |
5 | 37, 89, 10, 15, 265 |
37, 89, 2, 3, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 37 x 89 x 2 x 3 x 53 = 376982640
Therefore, the lowest common multiple of 888,801,720,135,795 is 376982640.
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.
888 x 801 x 720 x 135 x 795 = 54964068912000
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.
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
801 : 1, 3, 9, 89, 267, 801
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
135 : 1, 3, 5, 9, 15, 27, 45, 135
795 : 1, 3, 5, 15, 53, 159, 265, 795
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 888,801,720,135,795, is 3.
Now, the common factors can be found like this.
888:2x 2x 2x 3x 37
801:3x 3x 89
720:2x 2x 2x 2x 3x 3x 5
135:3x 3x 3x 5
795:3x 5x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 3x 3x 3x 5x 5 = 48600
Therefore, the value for common factors is 48600.
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 = 54964068912000/(3x48600)
LCM = 54964068912000/145800
LCM = 376982640
Thus, we can understand that the LCM of 888,801,720,135,795 is 376982640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 888, 801, 720, 135, 795?
Answer: LCM of 888, 801, 720, 135, 795 is 376982640.
2. How to calculate the LCM of 888, 801, 720, 135, 795?
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 888, 801, 720, 135, 795.
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}.