Find the LCM of 8979, 2829 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 8979, 2829. So, keep reading to learn more.
Given numbers are 8979,2829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8979,2829 is 206517.
Find LCM of 8979,2829 with Prime Factorization
| 3 | 8979, 2829 |
| 41 | 2993, 943 |
| 73, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 41 x 73 x 23 = 206517
Therefore, the lowest common multiple of 8979,2829 is 206517.
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.
8979 x 2829 = 25401591
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.
8979 : 1, 3, 41, 73, 123, 219, 2993, 8979
2829 : 1, 3, 23, 41, 69, 123, 943, 2829
123 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8979,2829, is 123.
Now, the common factors can be found like this.
8979:3x 41x 73
2829:3x 23x 41
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 = 25401591/(123x1)
LCM = 25401591/123
LCM = 206517
Thus, we can understand that the LCM of 8979,2829 is 206517.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 8979, 2829?
Answer: LCM of 8979, 2829 is 206517.
2. How to calculate the LCM of 8979, 2829?
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 8979, 2829.
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}.