Find the LCM of 128, 559, 800, 338, 128 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 128, 559, 800, 338, 128. So, keep reading to learn more.
Given numbers are 128,559,800,338,128
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 128,559,800,338,128 is 23254400.
Find LCM of 128,559,800,338,128 with Prime Factorization
2 | 128, 559, 800, 338, 128 |
2 | 64, 559, 400, 169, 64 |
2 | 32, 559, 200, 169, 32 |
2 | 16, 559, 100, 169, 16 |
2 | 8, 559, 50, 169, 8 |
2 | 4, 559, 25, 169, 4 |
2 | 2, 559, 25, 169, 2 |
13 | 1, 559, 25, 169, 1 |
1, 43, 25, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 2 x 13 x 1 x 43 x 25 x 13 x 1 = 23254400
Therefore, the lowest common multiple of 128,559,800,338,128 is 23254400.
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.
128 x 559 x 800 x 338 x 128 = 2476500582400
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.
128 : 1, 2, 4, 8, 16, 32, 64, 128
559 : 1, 13, 43, 559
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
338 : 1, 2, 13, 26, 169, 338
128 : 1, 2, 4, 8, 16, 32, 64, 128
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,559,800,338,128, is 1.
Now, the common factors can be found like this.
128:2x 2x 2x 2x 2x 2x 2
559:13x 43
800:2x 2x 2x 2x 2x 5x 5
338:2x 13x 13
128:2x 2x 2x 2x 2x 2x 2
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 2x 2x 2x 2x 2x 2x 2x 2x 13 = 106496
Therefore, the value for common factors is 106496.
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 = 2476500582400/(1x106496)
LCM = 2476500582400/106496
LCM = 23254400
Thus, we can understand that the LCM of 128,559,800,338,128 is 23254400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 128, 559, 800, 338, 128?
Answer: LCM of 128, 559, 800, 338, 128 is 23254400.
2. How to calculate the LCM of 128, 559, 800, 338, 128?
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 128, 559, 800, 338, 128.
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}.