LCM of 813, 324, 236, 189, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 324, 236, 189, 891 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, 324, 236, 189, 891. So, keep reading to learn more.
Given numbers are 813,324,236,189,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,324,236,189,891 is 398893572.
Find LCM of 813,324,236,189,891 with Prime Factorization
| 2 | 813, 324, 236, 189, 891 |
| 2 | 813, 162, 118, 189, 891 |
| 3 | 813, 81, 59, 189, 891 |
| 3 | 271, 27, 59, 63, 297 |
| 3 | 271, 9, 59, 21, 99 |
| 3 | 271, 3, 59, 7, 33 |
| 271, 1, 59, 7, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 271 x 1 x 59 x 7 x 11 = 398893572
Therefore, the lowest common multiple of 813,324,236,189,891 is 398893572.
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 324 x 236 x 189 x 891 = 10468562903568
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
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
236 : 1, 2, 4, 59, 118, 236
189 : 1, 3, 7, 9, 21, 27, 63, 189
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,324,236,189,891, is 1.
Now, the common factors can be found like this.
813:3x 271
324:2x 2x 3x 3x 3x 3
236:2x 2x 59
189:3x 3x 3x 7
891:3x 3x 3x 3x 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 3x 3x 3x 3x 3x 3x 3x 3 = 26244
Therefore, the value for common factors is 26244.
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 = 10468562903568/(1x26244)
LCM = 10468562903568/26244
LCM = 398893572
Thus, we can understand that the LCM of 813,324,236,189,891 is 398893572.
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FAQs on LCM of 813, 324, 236, 189, 891
1. What is the LCM of 813, 324, 236, 189, 891?
Answer: LCM of 813, 324, 236, 189, 891 is 398893572.
2. How to calculate the LCM of 813, 324, 236, 189, 891?
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, 324, 236, 189, 891.
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}.