Find the LCM of 922, 810, 990, 297, 189 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 922, 810, 990, 297, 189. So, keep reading to learn more.
Given numbers are 922,810,990,297,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 922,810,990,297,189 is 28752570.
Find LCM of 922,810,990,297,189 with Prime Factorization
2 | 922, 810, 990, 297, 189 |
3 | 461, 405, 495, 297, 189 |
3 | 461, 135, 165, 99, 63 |
3 | 461, 45, 55, 33, 21 |
5 | 461, 15, 55, 11, 7 |
11 | 461, 3, 11, 11, 7 |
461, 3, 1, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 11 x 461 x 3 x 1 x 1 x 7 = 28752570
Therefore, the lowest common multiple of 922,810,990,297,189 is 28752570.
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.
922 x 810 x 990 x 297 x 189 = 41502034589400
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.
922 : 1, 2, 461, 922
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
297 : 1, 3, 9, 11, 27, 33, 99, 297
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,810,990,297,189, is 1.
Now, the common factors can be found like this.
922:2x 461
810:2x 3x 3x 3x 3x 5
990:2x 3x 3x 5x 11
297:3x 3x 3x 11
189:3x 3x 3x 7
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 3x 3x 3x 3x 3x 5x 11 = 1443420
Therefore, the value for common factors is 1443420.
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 = 41502034589400/(1x1443420)
LCM = 41502034589400/1443420
LCM = 28752570
Thus, we can understand that the LCM of 922,810,990,297,189 is 28752570.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 922, 810, 990, 297, 189?
Answer: LCM of 922, 810, 990, 297, 189 is 28752570.
2. How to calculate the LCM of 922, 810, 990, 297, 189?
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 922, 810, 990, 297, 189.
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}.