Find the LCM of 411, 784, 424, 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 411, 784, 424, 128. So, keep reading to learn more.
Given numbers are 411,784,424,128
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 411,784,424,128 is 136622976.
Find LCM of 411,784,424,128 with Prime Factorization
2 | 411, 784, 424, 128 |
2 | 411, 392, 212, 64 |
2 | 411, 196, 106, 32 |
2 | 411, 98, 53, 16 |
411, 49, 53, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 411 x 49 x 53 x 8 = 136622976
Therefore, the lowest common multiple of 411,784,424,128 is 136622976.
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.
411 x 784 x 424 x 128 = 17487740928
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.
411 : 1, 3, 137, 411
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
424 : 1, 2, 4, 8, 53, 106, 212, 424
128 : 1, 2, 4, 8, 16, 32, 64, 128
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 411,784,424,128, is 1.
Now, the common factors can be found like this.
411:3x 137
784:2x 2x 2x 2x 7x 7
424:2x 2x 2x 53
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 2x 2x 2x 2 = 128
Therefore, the value for common factors is 128.
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 = 17487740928/(1x128)
LCM = 17487740928/128
LCM = 136622976
Thus, we can understand that the LCM of 411,784,424,128 is 136622976.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 411, 784, 424, 128?
Answer: LCM of 411, 784, 424, 128 is 136622976.
2. How to calculate the LCM of 411, 784, 424, 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 411, 784, 424, 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}.