Find the LCM of 569, 218, 872, 697 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 569, 218, 872, 697. So, keep reading to learn more.
Given numbers are 569,218,872,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 569,218,872,697 is 345829096.
Find LCM of 569,218,872,697 with Prime Factorization
2 | 569, 218, 872, 697 |
109 | 569, 109, 436, 697 |
569, 1, 4, 697 |
Multiply the prime numbers at the bottom and the left side.
2 x 109 x 569 x 1 x 4 x 697 = 345829096
Therefore, the lowest common multiple of 569,218,872,697 is 345829096.
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.
569 x 218 x 872 x 697 = 75390742928
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.
569 : 1, 569
218 : 1, 2, 109, 218
872 : 1, 2, 4, 8, 109, 218, 436, 872
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 569,218,872,697, is 1.
Now, the common factors can be found like this.
569:569
218:2x 109
872:2x 2x 2x 109
697:17x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 109 = 218
Therefore, the value for common factors is 218.
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 = 75390742928/(1x218)
LCM = 75390742928/218
LCM = 345829096
Thus, we can understand that the LCM of 569,218,872,697 is 345829096.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 569, 218, 872, 697?
Answer: LCM of 569, 218, 872, 697 is 345829096.
2. How to calculate the LCM of 569, 218, 872, 697?
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 569, 218, 872, 697.
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}.