Find the LCM of 809, 583, 535, 340, 269 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 809, 583, 535, 340, 269. So, keep reading to learn more.
Given numbers are 809,583,535,340,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 809,583,535,340,269 is 4615641304340.
Find LCM of 809,583,535,340,269 with Prime Factorization
5 | 809, 583, 535, 340, 269 |
809, 583, 107, 68, 269 |
Multiply the prime numbers at the bottom and the left side.
5 x 809 x 583 x 107 x 68 x 269 = 4615641304340
Therefore, the lowest common multiple of 809,583,535,340,269 is 4615641304340.
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.
809 x 583 x 535 x 340 x 269 = 23078206521700
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.
809 : 1, 809
583 : 1, 11, 53, 583
535 : 1, 5, 107, 535
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,583,535,340,269, is 1.
Now, the common factors can be found like this.
809:809
583:11x 53
535:5x 107
340:2x 2x 5x 17
269:269
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5 = 5
Therefore, the value for common factors is 5.
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 = 23078206521700/(1x5)
LCM = 23078206521700/5
LCM = 4615641304340
Thus, we can understand that the LCM of 809,583,535,340,269 is 4615641304340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 809, 583, 535, 340, 269?
Answer: LCM of 809, 583, 535, 340, 269 is 4615641304340.
2. How to calculate the LCM of 809, 583, 535, 340, 269?
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 809, 583, 535, 340, 269.
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}.