LCM of 961, 957, 261, 481, 434
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 961, 957, 261, 481, 434 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 961, 957, 261, 481, 434. So, keep reading to learn more.
Given numbers are 961,957,261,481,434
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 961,957,261,481,434 is 18579314754.
Find LCM of 961,957,261,481,434 with Prime Factorization
| 3 | 961, 957, 261, 481, 434 |
| 29 | 961, 319, 87, 481, 434 |
| 31 | 961, 11, 3, 481, 434 |
| 31, 11, 3, 481, 14 |
Multiply the prime numbers at the bottom and the left side.
3 x 29 x 31 x 31 x 11 x 3 x 481 x 14 = 18579314754
Therefore, the lowest common multiple of 961,957,261,481,434 is 18579314754.
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.
961 x 957 x 261 x 481 x 434 = 50108411891538
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.
961 : 1, 31, 961
957 : 1, 3, 11, 29, 33, 87, 319, 957
261 : 1, 3, 9, 29, 87, 261
481 : 1, 13, 37, 481
434 : 1, 2, 7, 14, 31, 62, 217, 434
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,957,261,481,434, is 1.
Now, the common factors can be found like this.
961:31x 31
957:3x 11x 29
261:3x 3x 29
481:13x 37
434:2x 7x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 29x 31 = 2697
Therefore, the value for common factors is 2697.
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 = 50108411891538/(1x2697)
LCM = 50108411891538/2697
LCM = 18579314754
Thus, we can understand that the LCM of 961,957,261,481,434 is 18579314754.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 961, 957, 261, 481, 434
1. What is the LCM of 961, 957, 261, 481, 434?
Answer: LCM of 961, 957, 261, 481, 434 is 18579314754.
2. How to calculate the LCM of 961, 957, 261, 481, 434?
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 961, 957, 261, 481, 434.
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}.