LCM of 344, 943, 516, 115, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 344, 943, 516, 115, 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 344, 943, 516, 115, 891. So, keep reading to learn more.
Given numbers are 344,943,516,115,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 344,943,516,115,891 is 1445166360.
Find LCM of 344,943,516,115,891 with Prime Factorization
| 2 | 344, 943, 516, 115, 891 |
| 2 | 172, 943, 258, 115, 891 |
| 3 | 86, 943, 129, 115, 891 |
| 23 | 86, 943, 43, 115, 297 |
| 43 | 86, 41, 43, 5, 297 |
| 2, 41, 1, 5, 297 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 43 x 2 x 41 x 1 x 5 x 297 = 1445166360
Therefore, the lowest common multiple of 344,943,516,115,891 is 1445166360.
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.
344 x 943 x 516 x 115 x 891 = 17151234360480
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.
344 : 1, 2, 4, 8, 43, 86, 172, 344
943 : 1, 23, 41, 943
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
115 : 1, 5, 23, 115
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 344,943,516,115,891, is 1.
Now, the common factors can be found like this.
344:2x 2x 2x 43
943:23x 41
516:2x 2x 3x 43
115:5x 23
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 23x 43 = 11868
Therefore, the value for common factors is 11868.
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 = 17151234360480/(1x11868)
LCM = 17151234360480/11868
LCM = 1445166360
Thus, we can understand that the LCM of 344,943,516,115,891 is 1445166360.
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FAQs on LCM of 344, 943, 516, 115, 891
1. What is the LCM of 344, 943, 516, 115, 891?
Answer: LCM of 344, 943, 516, 115, 891 is 1445166360.
2. How to calculate the LCM of 344, 943, 516, 115, 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 344, 943, 516, 115, 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}.