LCM of 218, 856, 958, 944, 311
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 218, 856, 958, 944, 311 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 218, 856, 958, 944, 311. So, keep reading to learn more.
Given numbers are 218,856,958,944,311
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,856,958,944,311 is 1640129621968.
Find LCM of 218,856,958,944,311 with Prime Factorization
| 2 | 218, 856, 958, 944, 311 |
| 2 | 109, 428, 479, 472, 311 |
| 2 | 109, 214, 479, 236, 311 |
| 109, 107, 479, 118, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 109 x 107 x 479 x 118 x 311 = 1640129621968
Therefore, the lowest common multiple of 218,856,958,944,311 is 1640129621968.
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.
218 x 856 x 958 x 944 x 311 = 52484147902976
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.
218 : 1, 2, 109, 218
856 : 1, 2, 4, 8, 107, 214, 428, 856
958 : 1, 2, 479, 958
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
311 : 1, 311
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,856,958,944,311, is 1.
Now, the common factors can be found like this.
218:2x 109
856:2x 2x 2x 107
958:2x 479
944:2x 2x 2x 2x 59
311:311
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 2x 2x 2 = 32
Therefore, the value for common factors is 32.
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 = 52484147902976/(1x32)
LCM = 52484147902976/32
LCM = 1640129621968
Thus, we can understand that the LCM of 218,856,958,944,311 is 1640129621968.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 218, 856, 958, 944, 311
1. What is the LCM of 218, 856, 958, 944, 311?
Answer: LCM of 218, 856, 958, 944, 311 is 1640129621968.
2. How to calculate the LCM of 218, 856, 958, 944, 311?
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 218, 856, 958, 944, 311.
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}.