Find the LCM of 321, 180, 531, 760, 882 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 321, 180, 531, 760, 882. So, keep reading to learn more.
Given numbers are 321,180,531,760,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,180,531,760,882 is 2115865080.
Find LCM of 321,180,531,760,882 with Prime Factorization
2 | 321, 180, 531, 760, 882 |
2 | 321, 90, 531, 380, 441 |
3 | 321, 45, 531, 190, 441 |
3 | 107, 15, 177, 190, 147 |
5 | 107, 5, 59, 190, 49 |
107, 1, 59, 38, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 107 x 1 x 59 x 38 x 49 = 2115865080
Therefore, the lowest common multiple of 321,180,531,760,882 is 2115865080.
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.
321 x 180 x 531 x 760 x 882 = 20566208577600
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.
321 : 1, 3, 107, 321
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
531 : 1, 3, 9, 59, 177, 531
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,180,531,760,882, is 1.
Now, the common factors can be found like this.
321:3x 107
180:2x 2x 3x 3x 5
531:3x 3x 59
760:2x 2x 2x 5x 19
882:2x 3x 3x 7x 7
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 2x 3x 3x 3x 3x 3x 5 = 9720
Therefore, the value for common factors is 9720.
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 = 20566208577600/(1x9720)
LCM = 20566208577600/9720
LCM = 2115865080
Thus, we can understand that the LCM of 321,180,531,760,882 is 2115865080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 321, 180, 531, 760, 882?
Answer: LCM of 321, 180, 531, 760, 882 is 2115865080.
2. How to calculate the LCM of 321, 180, 531, 760, 882?
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 321, 180, 531, 760, 882.
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}.