Find the LCM of 988, 758, 886, 687, 812 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 988, 758, 886, 687, 812. So, keep reading to learn more.
Given numbers are 988,758,886,687,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,758,886,687,812 is 23134102514796.
Find LCM of 988,758,886,687,812 with Prime Factorization
2 | 988, 758, 886, 687, 812 |
2 | 494, 379, 443, 687, 406 |
247, 379, 443, 687, 203 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 247 x 379 x 443 x 687 x 203 = 23134102514796
Therefore, the lowest common multiple of 988,758,886,687,812 is 23134102514796.
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.
988 x 758 x 886 x 687 x 812 = 370145640236736
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
758 : 1, 2, 379, 758
886 : 1, 2, 443, 886
687 : 1, 3, 229, 687
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,758,886,687,812, is 1.
Now, the common factors can be found like this.
988:2x 2x 13x 19
758:2x 379
886:2x 443
687:3x 229
812:2x 2x 7x 29
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 2 = 16
Therefore, the value for common factors is 16.
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 = 370145640236736/(1x16)
LCM = 370145640236736/16
LCM = 23134102514796
Thus, we can understand that the LCM of 988,758,886,687,812 is 23134102514796.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 988, 758, 886, 687, 812?
Answer: LCM of 988, 758, 886, 687, 812 is 23134102514796.
2. How to calculate the LCM of 988, 758, 886, 687, 812?
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 988, 758, 886, 687, 812.
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}.