LCM of 197, 872, 457, 764, 370
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 197, 872, 457, 764, 370 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 197, 872, 457, 764, 370. So, keep reading to learn more.
Given numbers are 197,872,457,764,370
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 197,872,457,764,370 is 2773984351480.
Find LCM of 197,872,457,764,370 with Prime Factorization
| 2 | 197, 872, 457, 764, 370 |
| 2 | 197, 436, 457, 382, 185 |
| 197, 218, 457, 191, 185 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 197 x 218 x 457 x 191 x 185 = 2773984351480
Therefore, the lowest common multiple of 197,872,457,764,370 is 2773984351480.
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.
197 x 872 x 457 x 764 x 370 = 22191874811840
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.
197 : 1, 197
872 : 1, 2, 4, 8, 109, 218, 436, 872
457 : 1, 457
764 : 1, 2, 4, 191, 382, 764
370 : 1, 2, 5, 10, 37, 74, 185, 370
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,872,457,764,370, is 1.
Now, the common factors can be found like this.
197:197
872:2x 2x 2x 109
457:457
764:2x 2x 191
370:2x 5x 37
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 2 = 8
Therefore, the value for common factors is 8.
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 = 22191874811840/(1x8)
LCM = 22191874811840/8
LCM = 2773984351480
Thus, we can understand that the LCM of 197,872,457,764,370 is 2773984351480.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 197, 872, 457, 764, 370
1. What is the LCM of 197, 872, 457, 764, 370?
Answer: LCM of 197, 872, 457, 764, 370 is 2773984351480.
2. How to calculate the LCM of 197, 872, 457, 764, 370?
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 197, 872, 457, 764, 370.
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}.