Find the LCM of 950, 922, 900, 920, 184 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 950, 922, 900, 920, 184. So, keep reading to learn more.
Given numbers are 950,922,900,920,184
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 950,922,900,920,184 is 362622600.
Find LCM of 950,922,900,920,184 with Prime Factorization
2 | 950, 922, 900, 920, 184 |
2 | 475, 461, 450, 460, 92 |
2 | 475, 461, 225, 230, 46 |
5 | 475, 461, 225, 115, 23 |
5 | 95, 461, 45, 23, 23 |
23 | 19, 461, 9, 23, 23 |
19, 461, 9, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 5 x 23 x 19 x 461 x 9 x 1 x 1 = 362622600
Therefore, the lowest common multiple of 950,922,900,920,184 is 362622600.
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.
950 x 922 x 900 x 920 x 184 = 133445116800000
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.
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
922 : 1, 2, 461, 922
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
184 : 1, 2, 4, 8, 23, 46, 92, 184
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 950,922,900,920,184, is 2.
Now, the common factors can be found like this.
950:2x 5x 5x 19
922:2x 461
900:2x 2x 3x 3x 5x 5
920:2x 2x 2x 5x 23
184:2x 2x 2x 23
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 2x 2x 2x 2x 5x 5x 5x 23 = 184000
Therefore, the value for common factors is 184000.
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 = 133445116800000/(2x184000)
LCM = 133445116800000/368000
LCM = 362622600
Thus, we can understand that the LCM of 950,922,900,920,184 is 362622600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 950, 922, 900, 920, 184?
Answer: LCM of 950, 922, 900, 920, 184 is 362622600.
2. How to calculate the LCM of 950, 922, 900, 920, 184?
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 950, 922, 900, 920, 184.
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}.