LCM of 2800, 1710
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 2800, 1710 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 2800, 1710. So, keep reading to learn more.
Given numbers are 2800,1710
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 2800,1710 is 478800.
Find LCM of 2800,1710 with Prime Factorization
| 2 | 2800, 1710 |
| 5 | 1400, 855 |
| 280, 171 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 280 x 171 = 478800
Therefore, the lowest common multiple of 2800,1710 is 478800.
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.
2800 x 1710 = 4788000
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.
2800 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400, 2800
1710 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 38, 45, 57, 90, 95, 114, 171, 190, 285, 342, 570, 855, 1710
10 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2800,1710, is 10.
Now, the common factors can be found like this.
2800:2x 2x 2x 2x 5x 5x 7
1710:2x 3x 3x 5x 19
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 = 4788000/(10x1)
LCM = 4788000/10
LCM = 478800
Thus, we can understand that the LCM of 2800,1710 is 478800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 2800, 1710
1. What is the LCM of 2800, 1710?
Answer: LCM of 2800, 1710 is 478800.
2. How to calculate the LCM of 2800, 1710?
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 2800, 1710.
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}.