Find the LCM of 936, 988, 446, 857, 256 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 936, 988, 446, 857, 256. So, keep reading to learn more.
Given numbers are 936,988,446,857,256
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,988,446,857,256 is 108758976768.
Find LCM of 936,988,446,857,256 with Prime Factorization
2 | 936, 988, 446, 857, 256 |
2 | 468, 494, 223, 857, 128 |
2 | 234, 247, 223, 857, 64 |
13 | 117, 247, 223, 857, 32 |
9, 19, 223, 857, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 9 x 19 x 223 x 857 x 32 = 108758976768
Therefore, the lowest common multiple of 936,988,446,857,256 is 108758976768.
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.
936 x 988 x 446 x 857 x 256 = 90487468670976
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.
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
446 : 1, 2, 223, 446
857 : 1, 857
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,988,446,857,256, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
988:2x 2x 13x 19
446:2x 223
857:857
256:2x 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 13 = 832
Therefore, the value for common factors is 832.
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 = 90487468670976/(1x832)
LCM = 90487468670976/832
LCM = 108758976768
Thus, we can understand that the LCM of 936,988,446,857,256 is 108758976768.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 936, 988, 446, 857, 256?
Answer: LCM of 936, 988, 446, 857, 256 is 108758976768.
2. How to calculate the LCM of 936, 988, 446, 857, 256?
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 936, 988, 446, 857, 256.
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}.