Find the LCM of 227, 555, 256, 135, 133 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 227, 555, 256, 135, 133. So, keep reading to learn more.
Given numbers are 227,555,256,135,133
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,555,256,135,133 is 38605835520.
Find LCM of 227,555,256,135,133 with Prime Factorization
3 | 227, 555, 256, 135, 133 |
5 | 227, 185, 256, 45, 133 |
227, 37, 256, 9, 133 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 227 x 37 x 256 x 9 x 133 = 38605835520
Therefore, the lowest common multiple of 227,555,256,135,133 is 38605835520.
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.
227 x 555 x 256 x 135 x 133 = 579087532800
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.
227 : 1, 227
555 : 1, 3, 5, 15, 37, 111, 185, 555
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
135 : 1, 3, 5, 9, 15, 27, 45, 135
133 : 1, 7, 19, 133
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,555,256,135,133, is 1.
Now, the common factors can be found like this.
227:227
555:3x 5x 37
256:2x 2x 2x 2x 2x 2x 2x 2
135:3x 3x 3x 5
133:7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 579087532800/(1x15)
LCM = 579087532800/15
LCM = 38605835520
Thus, we can understand that the LCM of 227,555,256,135,133 is 38605835520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 227, 555, 256, 135, 133?
Answer: LCM of 227, 555, 256, 135, 133 is 38605835520.
2. How to calculate the LCM of 227, 555, 256, 135, 133?
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 227, 555, 256, 135, 133.
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}.