Find the LCM of 910, 944, 836, 885, 512 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 910, 944, 836, 885, 512. So, keep reading to learn more.
Given numbers are 910,944,836,885,512
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,944,836,885,512 is 8617889280.
Find LCM of 910,944,836,885,512 with Prime Factorization
2 | 910, 944, 836, 885, 512 |
2 | 455, 472, 418, 885, 256 |
2 | 455, 236, 209, 885, 128 |
2 | 455, 118, 209, 885, 64 |
5 | 455, 59, 209, 885, 32 |
59 | 91, 59, 209, 177, 32 |
91, 1, 209, 3, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 59 x 91 x 1 x 209 x 3 x 32 = 8617889280
Therefore, the lowest common multiple of 910,944,836,885,512 is 8617889280.
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.
910 x 944 x 836 x 885 x 512 = 325411499212800
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.
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
885 : 1, 3, 5, 15, 59, 177, 295, 885
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,944,836,885,512, is 1.
Now, the common factors can be found like this.
910:2x 5x 7x 13
944:2x 2x 2x 2x 59
836:2x 2x 11x 19
885:3x 5x 59
512:2x 2x 2x 2x 2x 2x 2x 2x 2
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 5x 59 = 37760
Therefore, the value for common factors is 37760.
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 = 325411499212800/(1x37760)
LCM = 325411499212800/37760
LCM = 8617889280
Thus, we can understand that the LCM of 910,944,836,885,512 is 8617889280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 910, 944, 836, 885, 512?
Answer: LCM of 910, 944, 836, 885, 512 is 8617889280.
2. How to calculate the LCM of 910, 944, 836, 885, 512?
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 910, 944, 836, 885, 512.
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}.