Find the LCM of 569, 188, 589, 217 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, 188, 589, 217. So, keep reading to learn more.
Given numbers are 569,188,589,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 569,188,589,217 is 441045556.
Find LCM of 569,188,589,217 with Prime Factorization
31 | 569, 188, 589, 217 |
569, 188, 19, 7 |
Multiply the prime numbers at the bottom and the left side.
31 x 569 x 188 x 19 x 7 = 441045556
Therefore, the lowest common multiple of 569,188,589,217 is 441045556.
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 188 x 589 x 217 = 13672412236
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
188 : 1, 2, 4, 47, 94, 188
589 : 1, 19, 31, 589
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 569,188,589,217, is 1.
Now, the common factors can be found like this.
569:569
188:2x 2x 47
589:19x 31
217:7x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
31 = 31
Therefore, the value for common factors is 31.
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 = 13672412236/(1x31)
LCM = 13672412236/31
LCM = 441045556
Thus, we can understand that the LCM of 569,188,589,217 is 441045556.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 569, 188, 589, 217?
Answer: LCM of 569, 188, 589, 217 is 441045556.
2. How to calculate the LCM of 569, 188, 589, 217?
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, 188, 589, 217.
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}.