LCM of 298, 914, 979, 622, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 298, 914, 979, 622, 231 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 298, 914, 979, 622, 231. So, keep reading to learn more.
Given numbers are 298,914,979,622,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,914,979,622,231 is 870752719914.
Find LCM of 298,914,979,622,231 with Prime Factorization
| 2 | 298, 914, 979, 622, 231 |
| 11 | 149, 457, 979, 311, 231 |
| 149, 457, 89, 311, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 149 x 457 x 89 x 311 x 21 = 870752719914
Therefore, the lowest common multiple of 298,914,979,622,231 is 870752719914.
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.
298 x 914 x 979 x 622 x 231 = 38313119676216
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.
298 : 1, 2, 149, 298
914 : 1, 2, 457, 914
979 : 1, 11, 89, 979
622 : 1, 2, 311, 622
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,914,979,622,231, is 1.
Now, the common factors can be found like this.
298:2x 149
914:2x 457
979:11x 89
622:2x 311
231:3x 7x 11
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 11 = 44
Therefore, the value for common factors is 44.
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 = 38313119676216/(1x44)
LCM = 38313119676216/44
LCM = 870752719914
Thus, we can understand that the LCM of 298,914,979,622,231 is 870752719914.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 298, 914, 979, 622, 231
1. What is the LCM of 298, 914, 979, 622, 231?
Answer: LCM of 298, 914, 979, 622, 231 is 870752719914.
2. How to calculate the LCM of 298, 914, 979, 622, 231?
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 298, 914, 979, 622, 231.
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}.