Find the LCM of 864, 687, 800, 870, 765 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 864, 687, 800, 870, 765. So, keep reading to learn more.
Given numbers are 864,687,800,870,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 864,687,800,870,765 is 2438575200.
Find LCM of 864,687,800,870,765 with Prime Factorization
2 | 864, 687, 800, 870, 765 |
2 | 432, 687, 400, 435, 765 |
2 | 216, 687, 200, 435, 765 |
2 | 108, 687, 100, 435, 765 |
2 | 54, 687, 50, 435, 765 |
3 | 27, 687, 25, 435, 765 |
3 | 9, 229, 25, 145, 255 |
5 | 3, 229, 25, 145, 85 |
3, 229, 5, 29, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 3 x 229 x 5 x 29 x 17 = 2438575200
Therefore, the lowest common multiple of 864,687,800,870,765 is 2438575200.
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.
864 x 687 x 800 x 870 x 765 = 316039345920000
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.
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
687 : 1, 3, 229, 687
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,687,800,870,765, is 1.
Now, the common factors can be found like this.
864:2x 2x 2x 2x 2x 3x 3x 3
687:3x 229
800:2x 2x 2x 2x 2x 5x 5
870:2x 3x 5x 29
765:3x 3x 5x 17
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 3x 3x 3x 3x 5x 5 = 129600
Therefore, the value for common factors is 129600.
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 = 316039345920000/(1x129600)
LCM = 316039345920000/129600
LCM = 2438575200
Thus, we can understand that the LCM of 864,687,800,870,765 is 2438575200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 864, 687, 800, 870, 765?
Answer: LCM of 864, 687, 800, 870, 765 is 2438575200.
2. How to calculate the LCM of 864, 687, 800, 870, 765?
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 864, 687, 800, 870, 765.
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}.