LCM of 233, 814, 856, 121, 208
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 233, 814, 856, 121, 208 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 233, 814, 856, 121, 208. So, keep reading to learn more.
Given numbers are 233,814,856,121,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 233,814,856,121,208 is 23216146096.
Find LCM of 233,814,856,121,208 with Prime Factorization
| 2 | 233, 814, 856, 121, 208 |
| 2 | 233, 407, 428, 121, 104 |
| 2 | 233, 407, 214, 121, 52 |
| 11 | 233, 407, 107, 121, 26 |
| 233, 37, 107, 11, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 233 x 37 x 107 x 11 x 26 = 23216146096
Therefore, the lowest common multiple of 233,814,856,121,208 is 23216146096.
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.
233 x 814 x 856 x 121 x 208 = 4086041712896
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.
233 : 1, 233
814 : 1, 2, 11, 22, 37, 74, 407, 814
856 : 1, 2, 4, 8, 107, 214, 428, 856
121 : 1, 11, 121
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 233,814,856,121,208, is 1.
Now, the common factors can be found like this.
233:233
814:2x 11x 37
856:2x 2x 2x 107
121:11x 11
208:2x 2x 2x 2x 13
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 11 = 176
Therefore, the value for common factors is 176.
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 = 4086041712896/(1x176)
LCM = 4086041712896/176
LCM = 23216146096
Thus, we can understand that the LCM of 233,814,856,121,208 is 23216146096.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 233, 814, 856, 121, 208
1. What is the LCM of 233, 814, 856, 121, 208?
Answer: LCM of 233, 814, 856, 121, 208 is 23216146096.
2. How to calculate the LCM of 233, 814, 856, 121, 208?
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 233, 814, 856, 121, 208.
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}.