LCM of 398, 783, 737, 231, 203
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 783, 737, 231, 203 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 398, 783, 737, 231, 203. So, keep reading to learn more.
Given numbers are 398,783,737,231,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,783,737,231,203 is 1607719806.
Find LCM of 398,783,737,231,203 with Prime Factorization
| 3 | 398, 783, 737, 231, 203 |
| 7 | 398, 261, 737, 77, 203 |
| 11 | 398, 261, 737, 11, 29 |
| 29 | 398, 261, 67, 1, 29 |
| 398, 9, 67, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 29 x 398 x 9 x 67 x 1 x 1 = 1607719806
Therefore, the lowest common multiple of 398,783,737,231,203 is 1607719806.
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.
398 x 783 x 737 x 231 x 203 = 10770114980394
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.
398 : 1, 2, 199, 398
783 : 1, 3, 9, 27, 29, 87, 261, 783
737 : 1, 11, 67, 737
231 : 1, 3, 7, 11, 21, 33, 77, 231
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,783,737,231,203, is 1.
Now, the common factors can be found like this.
398:2x 199
783:3x 3x 3x 29
737:11x 67
231:3x 7x 11
203:7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 11x 29 = 6699
Therefore, the value for common factors is 6699.
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 = 10770114980394/(1x6699)
LCM = 10770114980394/6699
LCM = 1607719806
Thus, we can understand that the LCM of 398,783,737,231,203 is 1607719806.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 398, 783, 737, 231, 203
1. What is the LCM of 398, 783, 737, 231, 203?
Answer: LCM of 398, 783, 737, 231, 203 is 1607719806.
2. How to calculate the LCM of 398, 783, 737, 231, 203?
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 398, 783, 737, 231, 203.
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}.