Find the LCM of 2869, 2567 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 2869, 2567. So, keep reading to learn more.
Given numbers are 2869,2567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 2869,2567 is 48773.
Find LCM of 2869,2567 with Prime Factorization
| 151 | 2869, 2567 |
| 19, 17 |
Multiply the prime numbers at the bottom and the left side.
151 x 19 x 17 = 48773
Therefore, the lowest common multiple of 2869,2567 is 48773.
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.
2869 x 2567 = 7364723
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.
2869 : 1, 19, 151, 2869
2567 : 1, 17, 151, 2567
151 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2869,2567, is 151.
Now, the common factors can be found like this.
2869:19x 151
2567:17x 151
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 = 7364723/(151x1)
LCM = 7364723/151
LCM = 48773
Thus, we can understand that the LCM of 2869,2567 is 48773.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 2869, 2567?
Answer: LCM of 2869, 2567 is 48773.
2. How to calculate the LCM of 2869, 2567?
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 2869, 2567.
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}.