Find the LCM of 188, 812, 582, 770, 990 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 188, 812, 582, 770, 990. So, keep reading to learn more.
Given numbers are 188,812,582,770,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 188,812,582,770,990 is 1832444460.
Find LCM of 188,812,582,770,990 with Prime Factorization
2 | 188, 812, 582, 770, 990 |
2 | 94, 406, 291, 385, 495 |
3 | 47, 203, 291, 385, 495 |
5 | 47, 203, 97, 385, 165 |
7 | 47, 203, 97, 77, 33 |
11 | 47, 29, 97, 11, 33 |
47, 29, 97, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 11 x 47 x 29 x 97 x 1 x 3 = 1832444460
Therefore, the lowest common multiple of 188,812,582,770,990 is 1832444460.
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.
188 x 812 x 582 x 770 x 990 = 67727147241600
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.
188 : 1, 2, 4, 47, 94, 188
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
582 : 1, 2, 3, 6, 97, 194, 291, 582
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
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
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,812,582,770,990, is 2.
Now, the common factors can be found like this.
188:2x 2x 47
812:2x 2x 7x 29
582:2x 3x 97
770:2x 5x 7x 11
990:2x 3x 3x 5x 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 2x 2x 3x 5x 7x 11 = 18480
Therefore, the value for common factors is 18480.
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 = 67727147241600/(2x18480)
LCM = 67727147241600/36960
LCM = 1832444460
Thus, we can understand that the LCM of 188,812,582,770,990 is 1832444460.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 188, 812, 582, 770, 990?
Answer: LCM of 188, 812, 582, 770, 990 is 1832444460.
2. How to calculate the LCM of 188, 812, 582, 770, 990?
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 188, 812, 582, 770, 990.
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}.