Find the LCM of 2079, 5159 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 2079, 5159. So, keep reading to learn more.
Given numbers are 2079,5159
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 2079,5159 is 139293.
Find LCM of 2079,5159 with Prime Factorization
| 7 | 2079, 5159 |
| 11 | 297, 737 |
| 27, 67 |
Multiply the prime numbers at the bottom and the left side.
7 x 11 x 27 x 67 = 139293
Therefore, the lowest common multiple of 2079,5159 is 139293.
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.
2079 x 5159 = 10725561
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.
2079 : 1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 99, 189, 231, 297, 693, 2079
5159 : 1, 7, 11, 67, 77, 469, 737, 5159
77 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2079,5159, is 77.
Now, the common factors can be found like this.
2079:3x 3x 3x 7x 11
5159:7x 11x 67
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 = 10725561/(77x1)
LCM = 10725561/77
LCM = 139293
Thus, we can understand that the LCM of 2079,5159 is 139293.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 2079, 5159?
Answer: LCM of 2079, 5159 is 139293.
2. How to calculate the LCM of 2079, 5159?
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 2079, 5159.
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}.