Find the LCM of 809, 897, 533, 958 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, 897, 533, 958. So, keep reading to learn more.
Given numbers are 809,897,533,958
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 809,897,533,958 is 28502984094.
Find LCM of 809,897,533,958 with Prime Factorization
13 | 809, 897, 533, 958 |
809, 69, 41, 958 |
Multiply the prime numbers at the bottom and the left side.
13 x 809 x 69 x 41 x 958 = 28502984094
Therefore, the lowest common multiple of 809,897,533,958 is 28502984094.
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 897 x 533 x 958 = 370538793222
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
897 : 1, 3, 13, 23, 39, 69, 299, 897
533 : 1, 13, 41, 533
958 : 1, 2, 479, 958
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,897,533,958, is 1.
Now, the common factors can be found like this.
809:809
897:3x 13x 23
533:13x 41
958:2x 479
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 370538793222/(1x13)
LCM = 370538793222/13
LCM = 28502984094
Thus, we can understand that the LCM of 809,897,533,958 is 28502984094.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 809, 897, 533, 958?
Answer: LCM of 809, 897, 533, 958 is 28502984094.
2. How to calculate the LCM of 809, 897, 533, 958?
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, 897, 533, 958.
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}.