Find the LCM of 512, 589, 387, 931, 931 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 512, 589, 387, 931, 931. So, keep reading to learn more.
Given numbers are 512,589,387,931,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,589,387,931,931 is 5718633984.
Find LCM of 512,589,387,931,931 with Prime Factorization
7 | 512, 589, 387, 931, 931 |
7 | 512, 589, 387, 133, 133 |
19 | 512, 589, 387, 19, 19 |
512, 31, 387, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
7 x 7 x 19 x 512 x 31 x 387 x 1 x 1 = 5718633984
Therefore, the lowest common multiple of 512,589,387,931,931 is 5718633984.
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.
512 x 589 x 387 x 931 x 931 = 101156916542976
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.
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
589 : 1, 19, 31, 589
387 : 1, 3, 9, 43, 129, 387
931 : 1, 7, 19, 49, 133, 931
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,589,387,931,931, is 1.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
589:19x 31
387:3x 3x 43
931:7x 7x 19
931:7x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 19x 19 = 17689
Therefore, the value for common factors is 17689.
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 = 101156916542976/(1x17689)
LCM = 101156916542976/17689
LCM = 5718633984
Thus, we can understand that the LCM of 512,589,387,931,931 is 5718633984.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 512, 589, 387, 931, 931?
Answer: LCM of 512, 589, 387, 931, 931 is 5718633984.
2. How to calculate the LCM of 512, 589, 387, 931, 931?
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 512, 589, 387, 931, 931.
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}.