Find the LCM of 297, 808, 784, 159, 809 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 297, 808, 784, 159, 809. So, keep reading to learn more.
Given numbers are 297,808,784,159,809
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 297,808,784,159,809 is 1008366193296.
Find LCM of 297,808,784,159,809 with Prime Factorization
2 | 297, 808, 784, 159, 809 |
2 | 297, 404, 392, 159, 809 |
2 | 297, 202, 196, 159, 809 |
3 | 297, 101, 98, 159, 809 |
99, 101, 98, 53, 809 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 99 x 101 x 98 x 53 x 809 = 1008366193296
Therefore, the lowest common multiple of 297,808,784,159,809 is 1008366193296.
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.
297 x 808 x 784 x 159 x 809 = 24200788639104
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.
297 : 1, 3, 9, 11, 27, 33, 99, 297
808 : 1, 2, 4, 8, 101, 202, 404, 808
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
159 : 1, 3, 53, 159
809 : 1, 809
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 297,808,784,159,809, is 1.
Now, the common factors can be found like this.
297:3x 3x 3x 11
808:2x 2x 2x 101
784:2x 2x 2x 2x 7x 7
159:3x 53
809:809
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 24200788639104/(1x24)
LCM = 24200788639104/24
LCM = 1008366193296
Thus, we can understand that the LCM of 297,808,784,159,809 is 1008366193296.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 297, 808, 784, 159, 809?
Answer: LCM of 297, 808, 784, 159, 809 is 1008366193296.
2. How to calculate the LCM of 297, 808, 784, 159, 809?
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 297, 808, 784, 159, 809.
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}.