Find the LCM of 133, 208, 211, 826 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 133, 208, 211, 826. So, keep reading to learn more.
Given numbers are 133,208,211,826
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 133,208,211,826 is 344389136.
Find LCM of 133,208,211,826 with Prime Factorization
2 | 133, 208, 211, 826 |
7 | 133, 104, 211, 413 |
19, 104, 211, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 104 x 211 x 59 = 344389136
Therefore, the lowest common multiple of 133,208,211,826 is 344389136.
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.
133 x 208 x 211 x 826 = 4821447904
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.
133 : 1, 7, 19, 133
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
211 : 1, 211
826 : 1, 2, 7, 14, 59, 118, 413, 826
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,208,211,826, is 1.
Now, the common factors can be found like this.
133:7x 19
208:2x 2x 2x 2x 13
211:211
826:2x 7x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7 = 14
Therefore, the value for common factors is 14.
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 = 4821447904/(1x14)
LCM = 4821447904/14
LCM = 344389136
Thus, we can understand that the LCM of 133,208,211,826 is 344389136.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 133, 208, 211, 826?
Answer: LCM of 133, 208, 211, 826 is 344389136.
2. How to calculate the LCM of 133, 208, 211, 826?
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 133, 208, 211, 826.
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}.