LCM of 813, 344, 856, 386, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 344, 856, 386, 874 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 813, 344, 856, 386, 874. So, keep reading to learn more.
Given numbers are 813,344,856,386,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,344,856,386,874 is 2523896328264.
Find LCM of 813,344,856,386,874 with Prime Factorization
| 2 | 813, 344, 856, 386, 874 |
| 2 | 813, 172, 428, 193, 437 |
| 2 | 813, 86, 214, 193, 437 |
| 813, 43, 107, 193, 437 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 813 x 43 x 107 x 193 x 437 = 2523896328264
Therefore, the lowest common multiple of 813,344,856,386,874 is 2523896328264.
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.
813 x 344 x 856 x 386 x 874 = 80764682504448
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.
813 : 1, 3, 271, 813
344 : 1, 2, 4, 8, 43, 86, 172, 344
856 : 1, 2, 4, 8, 107, 214, 428, 856
386 : 1, 2, 193, 386
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,344,856,386,874, is 1.
Now, the common factors can be found like this.
813:3x 271
344:2x 2x 2x 43
856:2x 2x 2x 107
386:2x 193
874:2x 19x 23
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 2 = 32
Therefore, the value for common factors is 32.
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 = 80764682504448/(1x32)
LCM = 80764682504448/32
LCM = 2523896328264
Thus, we can understand that the LCM of 813,344,856,386,874 is 2523896328264.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 813, 344, 856, 386, 874
1. What is the LCM of 813, 344, 856, 386, 874?
Answer: LCM of 813, 344, 856, 386, 874 is 2523896328264.
2. How to calculate the LCM of 813, 344, 856, 386, 874?
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 813, 344, 856, 386, 874.
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}.