LCM of 112, 610, 959, 847, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 112, 610, 959, 847, 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 112, 610, 959, 847, 891. So, keep reading to learn more.
Given numbers are 112,610,959,847,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 112,610,959,847,891 is 45867895920.
Find LCM of 112,610,959,847,891 with Prime Factorization
| 2 | 112, 610, 959, 847, 891 |
| 7 | 56, 305, 959, 847, 891 |
| 11 | 8, 305, 137, 121, 891 |
| 8, 305, 137, 11, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 8 x 305 x 137 x 11 x 81 = 45867895920
Therefore, the lowest common multiple of 112,610,959,847,891 is 45867895920.
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.
112 x 610 x 959 x 847 x 891 = 49445591801760
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.
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
610 : 1, 2, 5, 10, 61, 122, 305, 610
959 : 1, 7, 137, 959
847 : 1, 7, 11, 77, 121, 847
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 112,610,959,847,891, is 1.
Now, the common factors can be found like this.
112:2x 2x 2x 2x 7
610:2x 5x 61
959:7x 137
847:7x 11x 11
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 7x 7x 11 = 1078
Therefore, the value for common factors is 1078.
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 = 49445591801760/(1x1078)
LCM = 49445591801760/1078
LCM = 45867895920
Thus, we can understand that the LCM of 112,610,959,847,891 is 45867895920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 112, 610, 959, 847, 891
1. What is the LCM of 112, 610, 959, 847, 891?
Answer: LCM of 112, 610, 959, 847, 891 is 45867895920.
2. How to calculate the LCM of 112, 610, 959, 847, 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 112, 610, 959, 847, 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}.