LCM of 559, 760, 208, 338, 109
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 559, 760, 208, 338, 109 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 559, 760, 208, 338, 109. So, keep reading to learn more.
Given numbers are 559,760,208,338,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 559,760,208,338,109 is 1203996560.
Find LCM of 559,760,208,338,109 with Prime Factorization
| 2 | 559, 760, 208, 338, 109 |
| 2 | 559, 380, 104, 169, 109 |
| 2 | 559, 190, 52, 169, 109 |
| 13 | 559, 95, 26, 169, 109 |
| 43, 95, 2, 13, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 43 x 95 x 2 x 13 x 109 = 1203996560
Therefore, the lowest common multiple of 559,760,208,338,109 is 1203996560.
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.
559 x 760 x 208 x 338 x 109 = 3255606698240
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.
559 : 1, 13, 43, 559
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
338 : 1, 2, 13, 26, 169, 338
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,760,208,338,109, is 1.
Now, the common factors can be found like this.
559:13x 43
760:2x 2x 2x 5x 19
208:2x 2x 2x 2x 13
338:2x 13x 13
109:109
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 13x 13 = 2704
Therefore, the value for common factors is 2704.
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 = 3255606698240/(1x2704)
LCM = 3255606698240/2704
LCM = 1203996560
Thus, we can understand that the LCM of 559,760,208,338,109 is 1203996560.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 559, 760, 208, 338, 109
1. What is the LCM of 559, 760, 208, 338, 109?
Answer: LCM of 559, 760, 208, 338, 109 is 1203996560.
2. How to calculate the LCM of 559, 760, 208, 338, 109?
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 559, 760, 208, 338, 109.
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}.