Find the LCM of 789, 111, 429, 838 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 789, 111, 429, 838. So, keep reading to learn more.
Given numbers are 789,111,429,838
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 789,111,429,838 is 3498313962.
Find LCM of 789,111,429,838 with Prime Factorization
3 | 789, 111, 429, 838 |
263, 37, 143, 838 |
Multiply the prime numbers at the bottom and the left side.
3 x 263 x 37 x 143 x 838 = 3498313962
Therefore, the lowest common multiple of 789,111,429,838 is 3498313962.
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.
789 x 111 x 429 x 838 = 31484825658
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.
789 : 1, 3, 263, 789
111 : 1, 3, 37, 111
429 : 1, 3, 11, 13, 33, 39, 143, 429
838 : 1, 2, 419, 838
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,111,429,838, is 1.
Now, the common factors can be found like this.
789:3x 263
111:3x 37
429:3x 11x 13
838:2x 419
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 31484825658/(1x9)
LCM = 31484825658/9
LCM = 3498313962
Thus, we can understand that the LCM of 789,111,429,838 is 3498313962.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 789, 111, 429, 838?
Answer: LCM of 789, 111, 429, 838 is 3498313962.
2. How to calculate the LCM of 789, 111, 429, 838?
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 789, 111, 429, 838.
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}.