Find the LCM of 271, 979, 891, 678, 363 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 271, 979, 891, 678, 363. So, keep reading to learn more.
Given numbers are 271,979,891,678,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 271,979,891,678,363 is 53424212094.
Find LCM of 271,979,891,678,363 with Prime Factorization
3 | 271, 979, 891, 678, 363 |
11 | 271, 979, 297, 226, 121 |
271, 89, 27, 226, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 271 x 89 x 27 x 226 x 11 = 53424212094
Therefore, the lowest common multiple of 271,979,891,678,363 is 53424212094.
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.
271 x 979 x 891 x 678 x 363 = 58178966970366
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.
271 : 1, 271
979 : 1, 11, 89, 979
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
678 : 1, 2, 3, 6, 113, 226, 339, 678
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,979,891,678,363, is 1.
Now, the common factors can be found like this.
271:271
979:11x 89
891:3x 3x 3x 3x 11
678:2x 3x 113
363:3x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11x 11 = 1089
Therefore, the value for common factors is 1089.
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 = 58178966970366/(1x1089)
LCM = 58178966970366/1089
LCM = 53424212094
Thus, we can understand that the LCM of 271,979,891,678,363 is 53424212094.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 271, 979, 891, 678, 363?
Answer: LCM of 271, 979, 891, 678, 363 is 53424212094.
2. How to calculate the LCM of 271, 979, 891, 678, 363?
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 271, 979, 891, 678, 363.
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}.