LCM of 869, 428, 237, 843
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 869, 428, 237, 843 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 869, 428, 237, 843. So, keep reading to learn more.
Given numbers are 869,428,237,843
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,428,237,843 is 313538676.
Find LCM of 869,428,237,843 with Prime Factorization
| 3 | 869, 428, 237, 843 |
| 79 | 869, 428, 79, 281 |
| 11, 428, 1, 281 |
Multiply the prime numbers at the bottom and the left side.
3 x 79 x 11 x 428 x 1 x 281 = 313538676
Therefore, the lowest common multiple of 869,428,237,843 is 313538676.
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.
869 x 428 x 237 x 843 = 74308666212
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.
869 : 1, 11, 79, 869
428 : 1, 2, 4, 107, 214, 428
237 : 1, 3, 79, 237
843 : 1, 3, 281, 843
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,428,237,843, is 1.
Now, the common factors can be found like this.
869:11x 79
428:2x 2x 107
237:3x 79
843:3x 281
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 79 = 237
Therefore, the value for common factors is 237.
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 = 74308666212/(1x237)
LCM = 74308666212/237
LCM = 313538676
Thus, we can understand that the LCM of 869,428,237,843 is 313538676.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 869, 428, 237, 843
1. What is the LCM of 869, 428, 237, 843?
Answer: LCM of 869, 428, 237, 843 is 313538676.
2. How to calculate the LCM of 869, 428, 237, 843?
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 869, 428, 237, 843.
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}.