Find the LCM of 569, 845, 144, 338 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, 845, 144, 338. So, keep reading to learn more.
Given numbers are 569,845,144,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 569,845,144,338 is 69235920.
Find LCM of 569,845,144,338 with Prime Factorization
2 | 569, 845, 144, 338 |
13 | 569, 845, 72, 169 |
13 | 569, 65, 72, 13 |
569, 5, 72, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 13 x 569 x 5 x 72 x 1 = 69235920
Therefore, the lowest common multiple of 569,845,144,338 is 69235920.
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 845 x 144 x 338 = 23401740960
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
845 : 1, 5, 13, 65, 169, 845
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 569,845,144,338, is 1.
Now, the common factors can be found like this.
569:569
845:5x 13x 13
144:2x 2x 2x 2x 3x 3
338:2x 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.
2x 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 23401740960/(1x338)
LCM = 23401740960/338
LCM = 69235920
Thus, we can understand that the LCM of 569,845,144,338 is 69235920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 569, 845, 144, 338?
Answer: LCM of 569, 845, 144, 338 is 69235920.
2. How to calculate the LCM of 569, 845, 144, 338?
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, 845, 144, 338.
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}.