LCM of 531, 891, 935, 748, 341
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 531, 891, 935, 748, 341 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 531, 891, 935, 748, 341. So, keep reading to learn more.
Given numbers are 531,891,935,748,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 531,891,935,748,341 is 554077260.
Find LCM of 531,891,935,748,341 with Prime Factorization
| 3 | 531, 891, 935, 748, 341 |
| 3 | 177, 297, 935, 748, 341 |
| 11 | 59, 99, 935, 748, 341 |
| 17 | 59, 9, 85, 68, 31 |
| 59, 9, 5, 4, 31 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 17 x 59 x 9 x 5 x 4 x 31 = 554077260
Therefore, the lowest common multiple of 531,891,935,748,341 is 554077260.
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.
531 x 891 x 935 x 748 x 341 = 112833955458180
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.
531 : 1, 3, 9, 59, 177, 531
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
935 : 1, 5, 11, 17, 55, 85, 187, 935
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,891,935,748,341, is 1.
Now, the common factors can be found like this.
531:3x 3x 59
891:3x 3x 3x 3x 11
935:5x 11x 17
748:2x 2x 11x 17
341:11x 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 3x 11x 11x 11x 17 = 203643
Therefore, the value for common factors is 203643.
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 = 112833955458180/(1x203643)
LCM = 112833955458180/203643
LCM = 554077260
Thus, we can understand that the LCM of 531,891,935,748,341 is 554077260.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 531, 891, 935, 748, 341
1. What is the LCM of 531, 891, 935, 748, 341?
Answer: LCM of 531, 891, 935, 748, 341 is 554077260.
2. How to calculate the LCM of 531, 891, 935, 748, 341?
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 531, 891, 935, 748, 341.
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}.