Find the LCM of 518, 234, 797, 468, 888 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 518, 234, 797, 468, 888. So, keep reading to learn more.
Given numbers are 518,234,797,468,888
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 518,234,797,468,888 is 193211928.
Find LCM of 518,234,797,468,888 with Prime Factorization
2 | 518, 234, 797, 468, 888 |
2 | 259, 117, 797, 234, 444 |
3 | 259, 117, 797, 117, 222 |
3 | 259, 39, 797, 39, 74 |
13 | 259, 13, 797, 13, 74 |
37 | 259, 1, 797, 1, 74 |
7, 1, 797, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 37 x 7 x 1 x 797 x 1 x 2 = 193211928
Therefore, the lowest common multiple of 518,234,797,468,888 is 193211928.
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.
518 x 234 x 797 x 468 x 888 = 40147892942976
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.
518 : 1, 2, 7, 14, 37, 74, 259, 518
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
797 : 1, 797
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,234,797,468,888, is 1.
Now, the common factors can be found like this.
518:2x 7x 37
234:2x 3x 3x 13
797:797
468:2x 2x 3x 3x 13
888:2x 2x 2x 3x 37
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 3x 3x 3x 13x 37 = 207792
Therefore, the value for common factors is 207792.
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 = 40147892942976/(1x207792)
LCM = 40147892942976/207792
LCM = 193211928
Thus, we can understand that the LCM of 518,234,797,468,888 is 193211928.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 518, 234, 797, 468, 888?
Answer: LCM of 518, 234, 797, 468, 888 is 193211928.
2. How to calculate the LCM of 518, 234, 797, 468, 888?
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 518, 234, 797, 468, 888.
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}.