Find the LCM of 513, 993, 993, 511 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 513, 993, 993, 511. So, keep reading to learn more.
Given numbers are 513,993,993,511
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,993,993,511 is 86769333.
Find LCM of 513,993,993,511 with Prime Factorization
3 | 513, 993, 993, 511 |
331 | 171, 331, 331, 511 |
171, 1, 1, 511 |
Multiply the prime numbers at the bottom and the left side.
3 x 331 x 171 x 1 x 1 x 511 = 86769333
Therefore, the lowest common multiple of 513,993,993,511 is 86769333.
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.
513 x 993 x 993 x 511 = 258485843007
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
993 : 1, 3, 331, 993
993 : 1, 3, 331, 993
511 : 1, 7, 73, 511
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,993,993,511, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
993:3x 331
993:3x 331
511:7x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 331 = 2979
Therefore, the value for common factors is 2979.
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 = 258485843007/(1x2979)
LCM = 258485843007/2979
LCM = 86769333
Thus, we can understand that the LCM of 513,993,993,511 is 86769333.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 513, 993, 993, 511?
Answer: LCM of 513, 993, 993, 511 is 86769333.
2. How to calculate the LCM of 513, 993, 993, 511?
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 513, 993, 993, 511.
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}.