LCM of 994, 992, 819, 628, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 994, 992, 819, 628, 900 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 994, 992, 819, 628, 900. So, keep reading to learn more.
Given numbers are 994,992,819,628,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 994,992,819,628,900 is 226408946400.
Find LCM of 994,992,819,628,900 with Prime Factorization
| 2 | 994, 992, 819, 628, 900 |
| 2 | 497, 496, 819, 314, 450 |
| 3 | 497, 248, 819, 157, 225 |
| 3 | 497, 248, 273, 157, 75 |
| 7 | 497, 248, 91, 157, 25 |
| 71, 248, 13, 157, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 71 x 248 x 13 x 157 x 25 = 226408946400
Therefore, the lowest common multiple of 994,992,819,628,900 is 226408946400.
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.
994 x 992 x 819 x 628 x 900 = 456440435942400
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.
994 : 1, 2, 7, 14, 71, 142, 497, 994
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
628 : 1, 2, 4, 157, 314, 628
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,992,819,628,900, is 1.
Now, the common factors can be found like this.
994:2x 7x 71
992:2x 2x 2x 2x 2x 31
819:3x 3x 7x 13
628:2x 2x 157
900:2x 2x 3x 3x 5x 5
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 3x 3x 7 = 2016
Therefore, the value for common factors is 2016.
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 = 456440435942400/(1x2016)
LCM = 456440435942400/2016
LCM = 226408946400
Thus, we can understand that the LCM of 994,992,819,628,900 is 226408946400.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 994, 992, 819, 628, 900
1. What is the LCM of 994, 992, 819, 628, 900?
Answer: LCM of 994, 992, 819, 628, 900 is 226408946400.
2. How to calculate the LCM of 994, 992, 819, 628, 900?
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 994, 992, 819, 628, 900.
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}.