Find the LCM of 338, 844, 211, 829 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 338, 844, 211, 829. So, keep reading to learn more.
Given numbers are 338,844,211,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,844,211,829 is 118245244.
Find LCM of 338,844,211,829 with Prime Factorization
2 | 338, 844, 211, 829 |
211 | 169, 422, 211, 829 |
169, 2, 1, 829 |
Multiply the prime numbers at the bottom and the left side.
2 x 211 x 169 x 2 x 1 x 829 = 118245244
Therefore, the lowest common multiple of 338,844,211,829 is 118245244.
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.
338 x 844 x 211 x 829 = 49899492968
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.
338 : 1, 2, 13, 26, 169, 338
844 : 1, 2, 4, 211, 422, 844
211 : 1, 211
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,844,211,829, is 1.
Now, the common factors can be found like this.
338:2x 13x 13
844:2x 2x 211
211:211
829:829
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 211 = 422
Therefore, the value for common factors is 422.
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 = 49899492968/(1x422)
LCM = 49899492968/422
LCM = 118245244
Thus, we can understand that the LCM of 338,844,211,829 is 118245244.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 338, 844, 211, 829?
Answer: LCM of 338, 844, 211, 829 is 118245244.
2. How to calculate the LCM of 338, 844, 211, 829?
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 338, 844, 211, 829.
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}.