Find the LCM of 597, 852, 871, 242, 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 597, 852, 871, 242, 195. So, keep reading to learn more.
Given numbers are 597,852,871,242,195
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 597,852,871,242,195 is 89344166340.
Find LCM of 597,852,871,242,195 with Prime Factorization
2 | 597, 852, 871, 242, 195 |
3 | 597, 426, 871, 121, 195 |
13 | 199, 142, 871, 121, 65 |
199, 142, 67, 121, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 199 x 142 x 67 x 121 x 5 = 89344166340
Therefore, the lowest common multiple of 597,852,871,242,195 is 89344166340.
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.
597 x 852 x 871 x 242 x 195 = 20906534923560
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.
597 : 1, 3, 199, 597
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
871 : 1, 13, 67, 871
242 : 1, 2, 11, 22, 121, 242
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 597,852,871,242,195, is 1.
Now, the common factors can be found like this.
597:3x 199
852:2x 2x 3x 71
871:13x 67
242:2x 11x 11
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 3x 3x 13 = 234
Therefore, the value for common factors is 234.
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 = 20906534923560/(1x234)
LCM = 20906534923560/234
LCM = 89344166340
Thus, we can understand that the LCM of 597,852,871,242,195 is 89344166340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 597, 852, 871, 242, 195?
Answer: LCM of 597, 852, 871, 242, 195 is 89344166340.
2. How to calculate the LCM of 597, 852, 871, 242, 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 597, 852, 871, 242, 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}.