Find the LCM of 292, 306, 583, 505, 810 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 292, 306, 583, 505, 810. So, keep reading to learn more.
Given numbers are 292,306,583,505,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 292,306,583,505,810 is 118379560860.
Find LCM of 292,306,583,505,810 with Prime Factorization
2 | 292, 306, 583, 505, 810 |
3 | 146, 153, 583, 505, 405 |
3 | 146, 51, 583, 505, 135 |
5 | 146, 17, 583, 505, 45 |
146, 17, 583, 101, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 146 x 17 x 583 x 101 x 9 = 118379560860
Therefore, the lowest common multiple of 292,306,583,505,810 is 118379560860.
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.
292 x 306 x 583 x 505 x 810 = 21308320954800
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.
292 : 1, 2, 4, 73, 146, 292
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
583 : 1, 11, 53, 583
505 : 1, 5, 101, 505
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,306,583,505,810, is 1.
Now, the common factors can be found like this.
292:2x 2x 73
306:2x 3x 3x 17
583:11x 53
505:5x 101
810:2x 3x 3x 3x 3x 5
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 5 = 180
Therefore, the value for common factors is 180.
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 = 21308320954800/(1x180)
LCM = 21308320954800/180
LCM = 118379560860
Thus, we can understand that the LCM of 292,306,583,505,810 is 118379560860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 292, 306, 583, 505, 810?
Answer: LCM of 292, 306, 583, 505, 810 is 118379560860.
2. How to calculate the LCM of 292, 306, 583, 505, 810?
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 292, 306, 583, 505, 810.
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}.