Find the LCM of 469, 256, 843, 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 469, 256, 843, 512. So, keep reading to learn more.
Given numbers are 469,256,843,512
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,256,843,512 is 202427904.
Find LCM of 469,256,843,512 with Prime Factorization
2 | 469, 256, 843, 512 |
2 | 469, 128, 843, 256 |
2 | 469, 64, 843, 128 |
2 | 469, 32, 843, 64 |
2 | 469, 16, 843, 32 |
2 | 469, 8, 843, 16 |
2 | 469, 4, 843, 8 |
2 | 469, 2, 843, 4 |
469, 1, 843, 2 |
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 2 x 469 x 1 x 843 x 2 = 202427904
Therefore, the lowest common multiple of 469,256,843,512 is 202427904.
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.
469 x 256 x 843 x 512 = 51821543424
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.
469 : 1, 7, 67, 469
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
843 : 1, 3, 281, 843
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 469,256,843,512, is 1.
Now, the common factors can be found like this.
469:7x 67
256:2x 2x 2x 2x 2x 2x 2x 2
843:3x 281
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 2 = 256
Therefore, the value for common factors is 256.
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 = 51821543424/(1x256)
LCM = 51821543424/256
LCM = 202427904
Thus, we can understand that the LCM of 469,256,843,512 is 202427904.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 469, 256, 843, 512?
Answer: LCM of 469, 256, 843, 512 is 202427904.
2. How to calculate the LCM of 469, 256, 843, 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 469, 256, 843, 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}.