Find the LCM of 813, 989, 864, 918, 192 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, 989, 864, 918, 192. So, keep reading to learn more.
Given numbers are 813,989,864,918,192
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,989,864,918,192 is 7873326144.
Find LCM of 813,989,864,918,192 with Prime Factorization
2 | 813, 989, 864, 918, 192 |
2 | 813, 989, 432, 459, 96 |
2 | 813, 989, 216, 459, 48 |
2 | 813, 989, 108, 459, 24 |
2 | 813, 989, 54, 459, 12 |
3 | 813, 989, 27, 459, 6 |
3 | 271, 989, 9, 153, 2 |
3 | 271, 989, 3, 51, 2 |
271, 989, 1, 17, 2 |
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 3 x 271 x 989 x 1 x 17 x 2 = 7873326144
Therefore, the lowest common multiple of 813,989,864,918,192 is 7873326144.
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 989 x 864 x 918 x 192 = 122445968191488
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
989 : 1, 23, 43, 989
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
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,989,864,918,192, is 1.
Now, the common factors can be found like this.
813:3x 271
989:23x 43
864:2x 2x 2x 2x 2x 3x 3x 3
918:2x 3x 3x 3x 17
192:2x 2x 2x 2x 2x 2x 3
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 3 = 15552
Therefore, the value for common factors is 15552.
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 = 122445968191488/(1x15552)
LCM = 122445968191488/15552
LCM = 7873326144
Thus, we can understand that the LCM of 813,989,864,918,192 is 7873326144.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 813, 989, 864, 918, 192?
Answer: LCM of 813, 989, 864, 918, 192 is 7873326144.
2. How to calculate the LCM of 813, 989, 864, 918, 192?
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, 989, 864, 918, 192.
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}.