Find the LCM of 484, 934, 442, 838, 128 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 484, 934, 442, 838, 128. So, keep reading to learn more.
Given numbers are 484,934,442,838,128
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,934,442,838,128 is 669758936704.
Find LCM of 484,934,442,838,128 with Prime Factorization
2 | 484, 934, 442, 838, 128 |
2 | 242, 467, 221, 419, 64 |
121, 467, 221, 419, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 121 x 467 x 221 x 419 x 32 = 669758936704
Therefore, the lowest common multiple of 484,934,442,838,128 is 669758936704.
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.
484 x 934 x 442 x 838 x 128 = 21432285974528
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
934 : 1, 2, 467, 934
442 : 1, 2, 13, 17, 26, 34, 221, 442
838 : 1, 2, 419, 838
128 : 1, 2, 4, 8, 16, 32, 64, 128
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,934,442,838,128, is 2.
Now, the common factors can be found like this.
484:2x 2x 11x 11
934:2x 467
442:2x 13x 17
838:2x 419
128:2x 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 2 = 16
Therefore, the value for common factors is 16.
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 = 21432285974528/(2x16)
LCM = 21432285974528/32
LCM = 669758936704
Thus, we can understand that the LCM of 484,934,442,838,128 is 669758936704.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 484, 934, 442, 838, 128?
Answer: LCM of 484, 934, 442, 838, 128 is 669758936704.
2. How to calculate the LCM of 484, 934, 442, 838, 128?
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 484, 934, 442, 838, 128.
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}.