Find the LCM of 325, 582, 876, 162, 195 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 325, 582, 876, 162, 195. So, keep reading to learn more.
Given numbers are 325,582,876,162,195
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 325,582,876,162,195 is 745629300.
Find LCM of 325,582,876,162,195 with Prime Factorization
2 | 325, 582, 876, 162, 195 |
3 | 325, 291, 438, 81, 195 |
5 | 325, 97, 146, 27, 65 |
13 | 13, 97, 146, 27, 65 |
1, 97, 146, 27, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 1 x 97 x 146 x 27 x 5 = 745629300
Therefore, the lowest common multiple of 325,582,876,162,195 is 745629300.
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.
325 x 582 x 876 x 162 x 195 = 5234317686000
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.
325 : 1, 5, 13, 25, 65, 325
582 : 1, 2, 3, 6, 97, 194, 291, 582
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
195 : 1, 3, 5, 13, 15, 39, 65, 195
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 325,582,876,162,195, is 1.
Now, the common factors can be found like this.
325:5x 5x 13
582:2x 3x 97
876:2x 2x 3x 73
162:2x 3x 3x 3x 3
195:3x 5x 13
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 3x 3x 5x 13 = 7020
Therefore, the value for common factors is 7020.
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 = 5234317686000/(1x7020)
LCM = 5234317686000/7020
LCM = 745629300
Thus, we can understand that the LCM of 325,582,876,162,195 is 745629300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 325, 582, 876, 162, 195?
Answer: LCM of 325, 582, 876, 162, 195 is 745629300.
2. How to calculate the LCM of 325, 582, 876, 162, 195?
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 325, 582, 876, 162, 195.
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}.