Find the LCM of 822, 765, 810, 242 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 822, 765, 810, 242. So, keep reading to learn more.
Given numbers are 822,765,810,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,765,810,242 is 228265290.
Find LCM of 822,765,810,242 with Prime Factorization
2 | 822, 765, 810, 242 |
3 | 411, 765, 405, 121 |
3 | 137, 255, 135, 121 |
5 | 137, 85, 45, 121 |
137, 17, 9, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 137 x 17 x 9 x 121 = 228265290
Therefore, the lowest common multiple of 822,765,810,242 is 228265290.
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.
822 x 765 x 810 x 242 = 123263256600
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,765,810,242, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
765:3x 3x 5x 17
810:2x 3x 3x 3x 3x 5
242:2x 11x 11
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 3x 5 = 540
Therefore, the value for common factors is 540.
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 = 123263256600/(1x540)
LCM = 123263256600/540
LCM = 228265290
Thus, we can understand that the LCM of 822,765,810,242 is 228265290.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 822, 765, 810, 242?
Answer: LCM of 822, 765, 810, 242 is 228265290.
2. How to calculate the LCM of 822, 765, 810, 242?
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 822, 765, 810, 242.
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}.