LCM of 319, 171, 899, 582, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 171, 899, 582, 957 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 319, 171, 899, 582, 957. So, keep reading to learn more.
Given numbers are 319,171,899,582,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,171,899,582,957 is 328057686.
Find LCM of 319,171,899,582,957 with Prime Factorization
| 3 | 319, 171, 899, 582, 957 |
| 11 | 319, 57, 899, 194, 319 |
| 29 | 29, 57, 899, 194, 29 |
| 1, 57, 31, 194, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 29 x 1 x 57 x 31 x 194 x 1 = 328057686
Therefore, the lowest common multiple of 319,171,899,582,957 is 328057686.
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.
319 x 171 x 899 x 582 x 957 = 27313754878674
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.
319 : 1, 11, 29, 319
171 : 1, 3, 9, 19, 57, 171
899 : 1, 29, 31, 899
582 : 1, 2, 3, 6, 97, 194, 291, 582
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,171,899,582,957, is 1.
Now, the common factors can be found like this.
319:11x 29
171:3x 3x 19
899:29x 31
582:2x 3x 97
957:3x 11x 29
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 11x 29x 29 = 83259
Therefore, the value for common factors is 83259.
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 = 27313754878674/(1x83259)
LCM = 27313754878674/83259
LCM = 328057686
Thus, we can understand that the LCM of 319,171,899,582,957 is 328057686.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 319, 171, 899, 582, 957
1. What is the LCM of 319, 171, 899, 582, 957?
Answer: LCM of 319, 171, 899, 582, 957 is 328057686.
2. How to calculate the LCM of 319, 171, 899, 582, 957?
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 319, 171, 899, 582, 957.
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}.