Find the LCM of 809, 209, 874, 271, 169 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, 209, 874, 271, 169. So, keep reading to learn more.
Given numbers are 809,209,874,271,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 809,209,874,271,169 is 356212073074.
Find LCM of 809,209,874,271,169 with Prime Factorization
19 | 809, 209, 874, 271, 169 |
809, 11, 46, 271, 169 |
Multiply the prime numbers at the bottom and the left side.
19 x 809 x 11 x 46 x 271 x 169 = 356212073074
Therefore, the lowest common multiple of 809,209,874,271,169 is 356212073074.
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 209 x 874 x 271 x 169 = 6768029388406
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
209 : 1, 11, 19, 209
874 : 1, 2, 19, 23, 38, 46, 437, 874
271 : 1, 271
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,209,874,271,169, is 1.
Now, the common factors can be found like this.
809:809
209:11x 19
874:2x 19x 23
271:271
169:13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 6768029388406/(1x19)
LCM = 6768029388406/19
LCM = 356212073074
Thus, we can understand that the LCM of 809,209,874,271,169 is 356212073074.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 809, 209, 874, 271, 169?
Answer: LCM of 809, 209, 874, 271, 169 is 356212073074.
2. How to calculate the LCM of 809, 209, 874, 271, 169?
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, 209, 874, 271, 169.
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}.