LCM of 645, 480, 516, 206, 129
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 645, 480, 516, 206, 129 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 645, 480, 516, 206, 129. So, keep reading to learn more.
Given numbers are 645,480,516,206,129
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 645,480,516,206,129 is 2125920.
Find LCM of 645,480,516,206,129 with Prime Factorization
| 2 | 645, 480, 516, 206, 129 |
| 2 | 645, 240, 258, 103, 129 |
| 3 | 645, 120, 129, 103, 129 |
| 5 | 215, 40, 43, 103, 43 |
| 43 | 43, 8, 43, 103, 43 |
| 1, 8, 1, 103, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 43 x 1 x 8 x 1 x 103 x 1 = 2125920
Therefore, the lowest common multiple of 645,480,516,206,129 is 2125920.
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.
645 x 480 x 516 x 206 x 129 = 4245292166400
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.
645 : 1, 3, 5, 15, 43, 129, 215, 645
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
206 : 1, 2, 103, 206
129 : 1, 3, 43, 129
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,480,516,206,129, is 1.
Now, the common factors can be found like this.
645:3x 5x 43
480:2x 2x 2x 2x 2x 3x 5
516:2x 2x 3x 43
206:2x 103
129:3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 3x 5x 43x 43 = 1996920
Therefore, the value for common factors is 1996920.
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 = 4245292166400/(1x1996920)
LCM = 4245292166400/1996920
LCM = 2125920
Thus, we can understand that the LCM of 645,480,516,206,129 is 2125920.
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FAQs on LCM of 645, 480, 516, 206, 129
1. What is the LCM of 645, 480, 516, 206, 129?
Answer: LCM of 645, 480, 516, 206, 129 is 2125920.
2. How to calculate the LCM of 645, 480, 516, 206, 129?
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 645, 480, 516, 206, 129.
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}.