Find the LCM of 128, 338, 292, 507, 876 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, 338, 292, 507, 876. So, keep reading to learn more.
Given numbers are 128,338,292,507,876
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 128,338,292,507,876 is 4737408.
Find LCM of 128,338,292,507,876 with Prime Factorization
2 | 128, 338, 292, 507, 876 |
2 | 64, 169, 146, 507, 438 |
3 | 32, 169, 73, 507, 219 |
13 | 32, 169, 73, 169, 73 |
13 | 32, 13, 73, 13, 73 |
73 | 32, 1, 73, 1, 73 |
32, 1, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 13 x 73 x 32 x 1 x 1 x 1 x 1 = 4737408
Therefore, the lowest common multiple of 128,338,292,507,876 is 4737408.
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 338 x 292 x 507 x 876 = 5610758639616
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
338 : 1, 2, 13, 26, 169, 338
292 : 1, 2, 4, 73, 146, 292
507 : 1, 3, 13, 39, 169, 507
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,338,292,507,876, is 1.
Now, the common factors can be found like this.
128:2x 2x 2x 2x 2x 2x 2
338:2x 13x 13
292:2x 2x 73
507:3x 13x 13
876:2x 2x 3x 73
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 3x 13x 13x 73 = 1184352
Therefore, the value for common factors is 1184352.
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 = 5610758639616/(1x1184352)
LCM = 5610758639616/1184352
LCM = 4737408
Thus, we can understand that the LCM of 128,338,292,507,876 is 4737408.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 128, 338, 292, 507, 876?
Answer: LCM of 128, 338, 292, 507, 876 is 4737408.
2. How to calculate the LCM of 128, 338, 292, 507, 876?
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, 338, 292, 507, 876.
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}.