Find the LCM of 128, 794, 512, 872 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 128, 794, 512, 872. So, keep reading to learn more.
Given numbers are 128,794,512,872
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 128,794,512,872 is 22155776.
Find LCM of 128,794,512,872 with Prime Factorization
2 | 128, 794, 512, 872 |
2 | 64, 397, 256, 436 |
2 | 32, 397, 128, 218 |
2 | 16, 397, 64, 109 |
2 | 8, 397, 32, 109 |
2 | 4, 397, 16, 109 |
2 | 2, 397, 8, 109 |
1, 397, 4, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 2 x 1 x 397 x 4 x 109 = 22155776
Therefore, the lowest common multiple of 128,794,512,872 is 22155776.
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.
128 x 794 x 512 x 872 = 45375029248
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.
128 : 1, 2, 4, 8, 16, 32, 64, 128
794 : 1, 2, 397, 794
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
872 : 1, 2, 4, 8, 109, 218, 436, 872
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,794,512,872, is 2.
Now, the common factors can be found like this.
128:2x 2x 2x 2x 2x 2x 2
794:2x 397
512:2x 2x 2x 2x 2x 2x 2x 2x 2
872:2x 2x 2x 109
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 2x 2x 2 = 1024
Therefore, the value for common factors is 1024.
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 = 45375029248/(2x1024)
LCM = 45375029248/2048
LCM = 22155776
Thus, we can understand that the LCM of 128,794,512,872 is 22155776.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 128, 794, 512, 872?
Answer: LCM of 128, 794, 512, 872 is 22155776.
2. How to calculate the LCM of 128, 794, 512, 872?
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 128, 794, 512, 872.
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}.