LCM of 2904, 2109
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 2904, 2109 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 2904, 2109. So, keep reading to learn more.
Given numbers are 2904,2109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 2904,2109 is 2041512.
Find LCM of 2904,2109 with Prime Factorization
| 3 | 2904, 2109 |
| 968, 703 |
Multiply the prime numbers at the bottom and the left side.
3 x 968 x 703 = 2041512
Therefore, the lowest common multiple of 2904,2109 is 2041512.
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.
2904 x 2109 = 6124536
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.
2904 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 121, 132, 242, 264, 363, 484, 726, 968, 1452, 2904
2109 : 1, 3, 19, 37, 57, 111, 703, 2109
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2904,2109, is 3.
Now, the common factors can be found like this.
2904:2x 2x 2x 3x 11x 11
2109:3x 19x 37
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 = 6124536/(3x1)
LCM = 6124536/3
LCM = 2041512
Thus, we can understand that the LCM of 2904,2109 is 2041512.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 2904, 2109
1. What is the LCM of 2904, 2109?
Answer: LCM of 2904, 2109 is 2041512.
2. How to calculate the LCM of 2904, 2109?
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 2904, 2109.
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}.