Find the LCM of 6990, 2338 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 6990, 2338. So, keep reading to learn more.
Given numbers are 6990,2338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 6990,2338 is 8171310.
Find LCM of 6990,2338 with Prime Factorization
| 2 | 6990, 2338 |
| 3495, 1169 |
Multiply the prime numbers at the bottom and the left side.
2 x 3495 x 1169 = 8171310
Therefore, the lowest common multiple of 6990,2338 is 8171310.
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.
6990 x 2338 = 16342620
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.
6990 : 1, 2, 3, 5, 6, 10, 15, 30, 233, 466, 699, 1165, 1398, 2330, 3495, 6990
2338 : 1, 2, 7, 14, 167, 334, 1169, 2338
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6990,2338, is 2.
Now, the common factors can be found like this.
6990:2x 3x 5x 233
2338:2x 7x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 16342620/(2x1)
LCM = 16342620/2
LCM = 8171310
Thus, we can understand that the LCM of 6990,2338 is 8171310.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 6990, 2338?
Answer: LCM of 6990, 2338 is 8171310.
2. How to calculate the LCM of 6990, 2338?
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 6990, 2338.
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}.