LCM of 110, 304, 102, 204, 242
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 110, 304, 102, 204, 242 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 110, 304, 102, 204, 242. So, keep reading to learn more.
Given numbers are 110,304,102,204,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 110,304,102,204,242 is 9379920.
Find LCM of 110,304,102,204,242 with Prime Factorization
| 2 | 110, 304, 102, 204, 242 |
| 2 | 55, 152, 51, 102, 121 |
| 3 | 55, 76, 51, 51, 121 |
| 11 | 55, 76, 17, 17, 121 |
| 17 | 5, 76, 17, 17, 11 |
| 5, 76, 1, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 5 x 76 x 1 x 1 x 11 = 9379920
Therefore, the lowest common multiple of 110,304,102,204,242 is 9379920.
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.
110 x 304 x 102 x 204 x 242 = 168388323840
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.
110 : 1, 2, 5, 10, 11, 22, 55, 110
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
102 : 1, 2, 3, 6, 17, 34, 51, 102
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
242 : 1, 2, 11, 22, 121, 242
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,304,102,204,242, is 2.
Now, the common factors can be found like this.
110:2x 5x 11
304:2x 2x 2x 2x 19
102:2x 3x 17
204:2x 2x 3x 17
242:2x 11x 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 2x 2x 3x 11x 17 = 8976
Therefore, the value for common factors is 8976.
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 = 168388323840/(2x8976)
LCM = 168388323840/17952
LCM = 9379920
Thus, we can understand that the LCM of 110,304,102,204,242 is 9379920.
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FAQs on LCM of 110, 304, 102, 204, 242
1. What is the LCM of 110, 304, 102, 204, 242?
Answer: LCM of 110, 304, 102, 204, 242 is 9379920.
2. How to calculate the LCM of 110, 304, 102, 204, 242?
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 110, 304, 102, 204, 242.
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}.