LCM of 459, 869, 135, 935, 122
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 869, 135, 935, 122 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 459, 869, 135, 935, 122. So, keep reading to learn more.
Given numbers are 459,869,135,935,122
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,869,135,935,122 is 243311310.
Find LCM of 459,869,135,935,122 with Prime Factorization
| 3 | 459, 869, 135, 935, 122 |
| 3 | 153, 869, 45, 935, 122 |
| 3 | 51, 869, 15, 935, 122 |
| 5 | 17, 869, 5, 935, 122 |
| 11 | 17, 869, 1, 187, 122 |
| 17 | 17, 79, 1, 17, 122 |
| 1, 79, 1, 1, 122 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 11 x 17 x 1 x 79 x 1 x 1 x 122 = 243311310
Therefore, the lowest common multiple of 459,869,135,935,122 is 243311310.
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.
459 x 869 x 135 x 935 x 122 = 6142394020950
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
869 : 1, 11, 79, 869
135 : 1, 3, 5, 9, 15, 27, 45, 135
935 : 1, 5, 11, 17, 55, 85, 187, 935
122 : 1, 2, 61, 122
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,869,135,935,122, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
869:11x 79
135:3x 3x 3x 5
935:5x 11x 17
122:2x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 11x 17 = 25245
Therefore, the value for common factors is 25245.
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 = 6142394020950/(1x25245)
LCM = 6142394020950/25245
LCM = 243311310
Thus, we can understand that the LCM of 459,869,135,935,122 is 243311310.
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FAQs on LCM of 459, 869, 135, 935, 122
1. What is the LCM of 459, 869, 135, 935, 122?
Answer: LCM of 459, 869, 135, 935, 122 is 243311310.
2. How to calculate the LCM of 459, 869, 135, 935, 122?
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 459, 869, 135, 935, 122.
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}.