LCM of 935, 873, 759, 289
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 935, 873, 759, 289 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 935, 873, 759, 289. So, keep reading to learn more.
Given numbers are 935,873,759,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,873,759,289 is 319155705.
Find LCM of 935,873,759,289 with Prime Factorization
| 3 | 935, 873, 759, 289 |
| 11 | 935, 291, 253, 289 |
| 17 | 85, 291, 23, 289 |
| 5, 291, 23, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 17 x 5 x 291 x 23 x 17 = 319155705
Therefore, the lowest common multiple of 935,873,759,289 is 319155705.
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.
935 x 873 x 759 x 289 = 179046350505
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.
935 : 1, 5, 11, 17, 55, 85, 187, 935
873 : 1, 3, 9, 97, 291, 873
759 : 1, 3, 11, 23, 33, 69, 253, 759
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,873,759,289, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
873:3x 3x 97
759:3x 11x 23
289:17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 17 = 561
Therefore, the value for common factors is 561.
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 = 179046350505/(1x561)
LCM = 179046350505/561
LCM = 319155705
Thus, we can understand that the LCM of 935,873,759,289 is 319155705.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 935, 873, 759, 289
1. What is the LCM of 935, 873, 759, 289?
Answer: LCM of 935, 873, 759, 289 is 319155705.
2. How to calculate the LCM of 935, 873, 759, 289?
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 935, 873, 759, 289.
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}.