Find the LCM of 813, 960, 760, 326, 865 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 813, 960, 760, 326, 865. So, keep reading to learn more.
Given numbers are 813,960,760,326,865
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,960,760,326,865 is 139388784960.
Find LCM of 813,960,760,326,865 with Prime Factorization
2 | 813, 960, 760, 326, 865 |
2 | 813, 480, 380, 163, 865 |
2 | 813, 240, 190, 163, 865 |
3 | 813, 120, 95, 163, 865 |
5 | 271, 40, 95, 163, 865 |
271, 8, 19, 163, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 271 x 8 x 19 x 163 x 173 = 139388784960
Therefore, the lowest common multiple of 813,960,760,326,865 is 139388784960.
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.
813 x 960 x 760 x 326 x 865 = 167266541952000
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.
813 : 1, 3, 271, 813
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
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
326 : 1, 2, 163, 326
865 : 1, 5, 173, 865
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,960,760,326,865, is 1.
Now, the common factors can be found like this.
813:3x 271
960:2x 2x 2x 2x 2x 2x 3x 5
760:2x 2x 2x 5x 19
326:2x 163
865:5x 173
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 3x 5x 5 = 1200
Therefore, the value for common factors is 1200.
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 = 167266541952000/(1x1200)
LCM = 167266541952000/1200
LCM = 139388784960
Thus, we can understand that the LCM of 813,960,760,326,865 is 139388784960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 813, 960, 760, 326, 865?
Answer: LCM of 813, 960, 760, 326, 865 is 139388784960.
2. How to calculate the LCM of 813, 960, 760, 326, 865?
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 813, 960, 760, 326, 865.
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}.