Find the LCM of 555, 652, 800, 960 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 555, 652, 800, 960. So, keep reading to learn more.
Given numbers are 555,652,800,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 555,652,800,960 is 28948800.
Find LCM of 555,652,800,960 with Prime Factorization
2 | 555, 652, 800, 960 |
2 | 555, 326, 400, 480 |
2 | 555, 163, 200, 240 |
2 | 555, 163, 100, 120 |
2 | 555, 163, 50, 60 |
3 | 555, 163, 25, 30 |
5 | 185, 163, 25, 10 |
37, 163, 5, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 5 x 37 x 163 x 5 x 2 = 28948800
Therefore, the lowest common multiple of 555,652,800,960 is 28948800.
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.
555 x 652 x 800 x 960 = 277908480000
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.
555 : 1, 3, 5, 15, 37, 111, 185, 555
652 : 1, 2, 4, 163, 326, 652
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 555,652,800,960, is 1.
Now, the common factors can be found like this.
555:3x 5x 37
652:2x 2x 163
800:2x 2x 2x 2x 2x 5x 5
960:2x 2x 2x 2x 2x 2x 3x 5
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 2x 2x 2x 2x 3x 5x 5 = 9600
Therefore, the value for common factors is 9600.
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 = 277908480000/(1x9600)
LCM = 277908480000/9600
LCM = 28948800
Thus, we can understand that the LCM of 555,652,800,960 is 28948800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 555, 652, 800, 960?
Answer: LCM of 555, 652, 800, 960 is 28948800.
2. How to calculate the LCM of 555, 652, 800, 960?
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 555, 652, 800, 960.
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}.