Find the LCM of 922, 483, 589, 228, 950 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, 483, 589, 228, 950. So, keep reading to learn more.
Given numbers are 922,483,589,228,950
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 922,483,589,228,950 is 13114850700.
Find LCM of 922,483,589,228,950 with Prime Factorization
2 | 922, 483, 589, 228, 950 |
3 | 461, 483, 589, 114, 475 |
19 | 461, 161, 589, 38, 475 |
461, 161, 31, 2, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 461 x 161 x 31 x 2 x 25 = 13114850700
Therefore, the lowest common multiple of 922,483,589,228,950 is 13114850700.
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 483 x 589 x 228 x 950 = 56813533232400
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
483 : 1, 3, 7, 21, 23, 69, 161, 483
589 : 1, 19, 31, 589
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,483,589,228,950, is 1.
Now, the common factors can be found like this.
922:2x 461
483:3x 7x 23
589:19x 31
228:2x 2x 3x 19
950:2x 5x 5x 19
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 19x 19 = 4332
Therefore, the value for common factors is 4332.
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 = 56813533232400/(1x4332)
LCM = 56813533232400/4332
LCM = 13114850700
Thus, we can understand that the LCM of 922,483,589,228,950 is 13114850700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 922, 483, 589, 228, 950?
Answer: LCM of 922, 483, 589, 228, 950 is 13114850700.
2. How to calculate the LCM of 922, 483, 589, 228, 950?
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, 483, 589, 228, 950.
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}.