LCM of 202, 308, 858, 214, 259
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 202, 308, 858, 214, 259 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 202, 308, 858, 214, 259. So, keep reading to learn more.
Given numbers are 202,308,858,214,259
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 202,308,858,214,259 is 4803106308.
Find LCM of 202,308,858,214,259 with Prime Factorization
| 2 | 202, 308, 858, 214, 259 |
| 7 | 101, 154, 429, 107, 259 |
| 11 | 101, 22, 429, 107, 37 |
| 101, 2, 39, 107, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 101 x 2 x 39 x 107 x 37 = 4803106308
Therefore, the lowest common multiple of 202,308,858,214,259 is 4803106308.
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.
202 x 308 x 858 x 214 x 259 = 2958713485728
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.
202 : 1, 2, 101, 202
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
214 : 1, 2, 107, 214
259 : 1, 7, 37, 259
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,308,858,214,259, is 1.
Now, the common factors can be found like this.
202:2x 101
308:2x 2x 7x 11
858:2x 3x 11x 13
214:2x 107
259:7x 37
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 7x 11 = 616
Therefore, the value for common factors is 616.
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 = 2958713485728/(1x616)
LCM = 2958713485728/616
LCM = 4803106308
Thus, we can understand that the LCM of 202,308,858,214,259 is 4803106308.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 202, 308, 858, 214, 259
1. What is the LCM of 202, 308, 858, 214, 259?
Answer: LCM of 202, 308, 858, 214, 259 is 4803106308.
2. How to calculate the LCM of 202, 308, 858, 214, 259?
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 202, 308, 858, 214, 259.
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}.