Find the LCM of 289, 807, 538, 871 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 289, 807, 538, 871. So, keep reading to learn more.
Given numbers are 289,807,538,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,807,538,871 is 406274466.
Find LCM of 289,807,538,871 with Prime Factorization
269 | 289, 807, 538, 871 |
289, 3, 2, 871 |
Multiply the prime numbers at the bottom and the left side.
269 x 289 x 3 x 2 x 871 = 406274466
Therefore, the lowest common multiple of 289,807,538,871 is 406274466.
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.
289 x 807 x 538 x 871 = 109287831354
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.
289 : 1, 17, 289
807 : 1, 3, 269, 807
538 : 1, 2, 269, 538
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,807,538,871, is 1.
Now, the common factors can be found like this.
289:17x 17
807:3x 269
538:2x 269
871:13x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
269 = 269
Therefore, the value for common factors is 269.
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 = 109287831354/(1x269)
LCM = 109287831354/269
LCM = 406274466
Thus, we can understand that the LCM of 289,807,538,871 is 406274466.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 289, 807, 538, 871?
Answer: LCM of 289, 807, 538, 871 is 406274466.
2. How to calculate the LCM of 289, 807, 538, 871?
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 289, 807, 538, 871.
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}.