Find the LCM of 260, 900, 338, 512, 109 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 260, 900, 338, 512, 109. So, keep reading to learn more.
Given numbers are 260,900,338,512,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 260,900,338,512,109 is 2122099200.
Find LCM of 260,900,338,512,109 with Prime Factorization
2 | 260, 900, 338, 512, 109 |
2 | 130, 450, 169, 256, 109 |
5 | 65, 225, 169, 128, 109 |
13 | 13, 45, 169, 128, 109 |
1, 45, 13, 128, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 1 x 45 x 13 x 128 x 109 = 2122099200
Therefore, the lowest common multiple of 260,900,338,512,109 is 2122099200.
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.
260 x 900 x 338 x 512 x 109 = 4413966336000
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.
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
338 : 1, 2, 13, 26, 169, 338
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,900,338,512,109, is 1.
Now, the common factors can be found like this.
260:2x 2x 5x 13
900:2x 2x 3x 3x 5x 5
338:2x 13x 13
512:2x 2x 2x 2x 2x 2x 2x 2x 2
109:109
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 2x 2x 5x 13 = 2080
Therefore, the value for common factors is 2080.
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 = 4413966336000/(1x2080)
LCM = 4413966336000/2080
LCM = 2122099200
Thus, we can understand that the LCM of 260,900,338,512,109 is 2122099200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 260, 900, 338, 512, 109?
Answer: LCM of 260, 900, 338, 512, 109 is 2122099200.
2. How to calculate the LCM of 260, 900, 338, 512, 109?
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 260, 900, 338, 512, 109.
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}.