LCM of 810, 242, 514, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 810, 242, 514, 561 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 810, 242, 514, 561. So, keep reading to learn more.
Given numbers are 810,242,514,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,242,514,561 is 428205690.
Find LCM of 810,242,514,561 with Prime Factorization
| 2 | 810, 242, 514, 561 |
| 3 | 405, 121, 257, 561 |
| 11 | 135, 121, 257, 187 |
| 135, 11, 257, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 135 x 11 x 257 x 17 = 428205690
Therefore, the lowest common multiple of 810,242,514,561 is 428205690.
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.
810 x 242 x 514 x 561 = 56523151080
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.
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
242 : 1, 2, 11, 22, 121, 242
514 : 1, 2, 257, 514
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,242,514,561, is 1.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
242:2x 11x 11
514:2x 257
561:3x 11x 17
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 11 = 132
Therefore, the value for common factors is 132.
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 = 56523151080/(1x132)
LCM = 56523151080/132
LCM = 428205690
Thus, we can understand that the LCM of 810,242,514,561 is 428205690.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 810, 242, 514, 561
1. What is the LCM of 810, 242, 514, 561?
Answer: LCM of 810, 242, 514, 561 is 428205690.
2. How to calculate the LCM of 810, 242, 514, 561?
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 810, 242, 514, 561.
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}.