LCM of 1628, 8140
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 1628, 8140 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 1628, 8140. So, keep reading to learn more.
Given numbers are 1628,8140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 1628,8140 is 8140.
Find LCM of 1628,8140 with Prime Factorization
| 2 | 1628, 8140 |
| 2 | 814, 4070 |
| 11 | 407, 2035 |
| 37 | 37, 185 |
| 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 37 x 1 x 5 = 8140
Therefore, the lowest common multiple of 1628,8140 is 8140.
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.
1628 x 8140 = 13251920
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.
1628 : 1, 2, 4, 11, 22, 37, 44, 74, 148, 407, 814, 1628
8140 : 1, 2, 4, 5, 10, 11, 20, 22, 37, 44, 55, 74, 110, 148, 185, 220, 370, 407, 740, 814, 1628, 2035, 4070, 8140
1628 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1628,8140, is 1628.
Now, the common factors can be found like this.
1628:2x 2x 11x 37
8140:2x 2x 5x 11x 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 = 13251920/(1628x1)
LCM = 13251920/1628
LCM = 8140
Thus, we can understand that the LCM of 1628,8140 is 8140.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 1628, 8140
1. What is the LCM of 1628, 8140?
Answer: LCM of 1628, 8140 is 8140.
2. How to calculate the LCM of 1628, 8140?
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 1628, 8140.
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}.