Find the LCM of 579, 552, 798, 324, 627 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 579, 552, 798, 324, 627. So, keep reading to learn more.
Given numbers are 579,552,798,324,627
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 579,552,798,324,627 is 4208278536.
Find LCM of 579,552,798,324,627 with Prime Factorization
2 | 579, 552, 798, 324, 627 |
2 | 579, 276, 399, 162, 627 |
3 | 579, 138, 399, 81, 627 |
19 | 193, 46, 133, 27, 209 |
193, 46, 7, 27, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 193 x 46 x 7 x 27 x 11 = 4208278536
Therefore, the lowest common multiple of 579,552,798,324,627 is 4208278536.
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.
579 x 552 x 798 x 324 x 627 = 51812325335232
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.
579 : 1, 3, 193, 579
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
627 : 1, 3, 11, 19, 33, 57, 209, 627
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,552,798,324,627, is 3.
Now, the common factors can be found like this.
579:3x 193
552:2x 2x 2x 3x 23
798:2x 3x 7x 19
324:2x 2x 3x 3x 3x 3
627:3x 11x 19
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 3x 3x 19 = 4104
Therefore, the value for common factors is 4104.
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 = 51812325335232/(3x4104)
LCM = 51812325335232/12312
LCM = 4208278536
Thus, we can understand that the LCM of 579,552,798,324,627 is 4208278536.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 579, 552, 798, 324, 627?
Answer: LCM of 579, 552, 798, 324, 627 is 4208278536.
2. How to calculate the LCM of 579, 552, 798, 324, 627?
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 579, 552, 798, 324, 627.
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}.