LCM of 561, 760, 331, 724, 993
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 760, 331, 724, 993 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 561, 760, 331, 724, 993. So, keep reading to learn more.
Given numbers are 561,760,331,724,993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,760,331,724,993 is 25543653960.
Find LCM of 561,760,331,724,993 with Prime Factorization
| 2 | 561, 760, 331, 724, 993 |
| 2 | 561, 380, 331, 362, 993 |
| 3 | 561, 190, 331, 181, 993 |
| 331 | 187, 190, 331, 181, 331 |
| 187, 190, 1, 181, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 331 x 187 x 190 x 1 x 181 x 1 = 25543653960
Therefore, the lowest common multiple of 561,760,331,724,993 is 25543653960.
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.
561 x 760 x 331 x 724 x 993 = 101459393529120
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
331 : 1, 331
724 : 1, 2, 4, 181, 362, 724
993 : 1, 3, 331, 993
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,760,331,724,993, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
760:2x 2x 2x 5x 19
331:331
724:2x 2x 181
993:3x 331
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 3x 331 = 3972
Therefore, the value for common factors is 3972.
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 = 101459393529120/(1x3972)
LCM = 101459393529120/3972
LCM = 25543653960
Thus, we can understand that the LCM of 561,760,331,724,993 is 25543653960.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 561, 760, 331, 724, 993
1. What is the LCM of 561, 760, 331, 724, 993?
Answer: LCM of 561, 760, 331, 724, 993 is 25543653960.
2. How to calculate the LCM of 561, 760, 331, 724, 993?
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 561, 760, 331, 724, 993.
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}.