LCM of 510, 408, 566, 940
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 408, 566, 940 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 510, 408, 566, 940. So, keep reading to learn more.
Given numbers are 510,408,566,940
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,408,566,940 is 27134040.
Find LCM of 510,408,566,940 with Prime Factorization
| 2 | 510, 408, 566, 940 |
| 2 | 255, 204, 283, 470 |
| 3 | 255, 102, 283, 235 |
| 5 | 85, 34, 283, 235 |
| 17 | 17, 34, 283, 47 |
| 1, 2, 283, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 1 x 2 x 283 x 47 = 27134040
Therefore, the lowest common multiple of 510,408,566,940 is 27134040.
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.
510 x 408 x 566 x 940 = 110706883200
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
566 : 1, 2, 283, 566
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,408,566,940, is 2.
Now, the common factors can be found like this.
510:2x 3x 5x 17
408:2x 2x 2x 3x 17
566:2x 283
940:2x 2x 5x 47
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 5x 17 = 2040
Therefore, the value for common factors is 2040.
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 = 110706883200/(2x2040)
LCM = 110706883200/4080
LCM = 27134040
Thus, we can understand that the LCM of 510,408,566,940 is 27134040.
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FAQs on LCM of 510, 408, 566, 940
1. What is the LCM of 510, 408, 566, 940?
Answer: LCM of 510, 408, 566, 940 is 27134040.
2. How to calculate the LCM of 510, 408, 566, 940?
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 510, 408, 566, 940.
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}.