LCM of 810, 404, 542, 292
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 810, 404, 542, 292 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, 404, 542, 292. So, keep reading to learn more.
Given numbers are 810,404,542,292
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,404,542,292 is 3236894460.
Find LCM of 810,404,542,292 with Prime Factorization
| 2 | 810, 404, 542, 292 |
| 2 | 405, 202, 271, 146 |
| 405, 101, 271, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 405 x 101 x 271 x 73 = 3236894460
Therefore, the lowest common multiple of 810,404,542,292 is 3236894460.
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 404 x 542 x 292 = 51790311360
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
404 : 1, 2, 4, 101, 202, 404
542 : 1, 2, 271, 542
292 : 1, 2, 4, 73, 146, 292
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,404,542,292, is 2.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
404:2x 2x 101
542:2x 271
292:2x 2x 73
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 2 = 8
Therefore, the value for common factors is 8.
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 = 51790311360/(2x8)
LCM = 51790311360/16
LCM = 3236894460
Thus, we can understand that the LCM of 810,404,542,292 is 3236894460.
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FAQs on LCM of 810, 404, 542, 292
1. What is the LCM of 810, 404, 542, 292?
Answer: LCM of 810, 404, 542, 292 is 3236894460.
2. How to calculate the LCM of 810, 404, 542, 292?
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, 404, 542, 292.
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}.