Find the LCM of 8, 789, 576, 519 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 8, 789, 576, 519. So, keep reading to learn more.
Given numbers are 8,789,576,519
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8,789,576,519 is 26207424.
Find LCM of 8,789,576,519 with Prime Factorization
2 | 8, 789, 576, 519 |
2 | 4, 789, 288, 519 |
2 | 2, 789, 144, 519 |
3 | 1, 789, 72, 519 |
1, 263, 24, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 1 x 263 x 24 x 173 = 26207424
Therefore, the lowest common multiple of 8,789,576,519 is 26207424.
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.
8 x 789 x 576 x 519 = 1886934528
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.
8 : 1, 2, 4, 8
789 : 1, 3, 263, 789
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
519 : 1, 3, 173, 519
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8,789,576,519, is 1.
Now, the common factors can be found like this.
8:2x 2x 2
789:3x 263
576:2x 2x 2x 2x 2x 2x 3x 3
519:3x 173
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 1886934528/(1x72)
LCM = 1886934528/72
LCM = 26207424
Thus, we can understand that the LCM of 8,789,576,519 is 26207424.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 8, 789, 576, 519?
Answer: LCM of 8, 789, 576, 519 is 26207424.
2. How to calculate the LCM of 8, 789, 576, 519?
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 8, 789, 576, 519.
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}.