LCM of 429, 591, 530, 204, 986
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 591, 530, 204, 986 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 429, 591, 530, 204, 986. So, keep reading to learn more.
Given numbers are 429,591,530,204,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,591,530,204,986 is 44164803540.
Find LCM of 429,591,530,204,986 with Prime Factorization
| 2 | 429, 591, 530, 204, 986 |
| 3 | 429, 591, 265, 102, 493 |
| 17 | 143, 197, 265, 34, 493 |
| 143, 197, 265, 2, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 143 x 197 x 265 x 2 x 29 = 44164803540
Therefore, the lowest common multiple of 429,591,530,204,986 is 44164803540.
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.
429 x 591 x 530 x 204 x 986 = 27028859766480
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.
429 : 1, 3, 11, 13, 33, 39, 143, 429
591 : 1, 3, 197, 591
530 : 1, 2, 5, 10, 53, 106, 265, 530
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,591,530,204,986, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
591:3x 197
530:2x 5x 53
204:2x 2x 3x 17
986:2x 17x 29
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 3x 3x 17 = 612
Therefore, the value for common factors is 612.
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 = 27028859766480/(1x612)
LCM = 27028859766480/612
LCM = 44164803540
Thus, we can understand that the LCM of 429,591,530,204,986 is 44164803540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 429, 591, 530, 204, 986
1. What is the LCM of 429, 591, 530, 204, 986?
Answer: LCM of 429, 591, 530, 204, 986 is 44164803540.
2. How to calculate the LCM of 429, 591, 530, 204, 986?
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 429, 591, 530, 204, 986.
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}.