LCM of 998, 894, 803, 990, 845
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 998, 894, 803, 990, 845 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 998, 894, 803, 990, 845. So, keep reading to learn more.
Given numbers are 998,894,803,990,845
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,894,803,990,845 is 908095604130.
Find LCM of 998,894,803,990,845 with Prime Factorization
| 2 | 998, 894, 803, 990, 845 |
| 3 | 499, 447, 803, 495, 845 |
| 5 | 499, 149, 803, 165, 845 |
| 11 | 499, 149, 803, 33, 169 |
| 499, 149, 73, 3, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 499 x 149 x 73 x 3 x 169 = 908095604130
Therefore, the lowest common multiple of 998,894,803,990,845 is 908095604130.
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.
998 x 894 x 803 x 990 x 845 = 599343098725800
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.
998 : 1, 2, 499, 998
894 : 1, 2, 3, 6, 149, 298, 447, 894
803 : 1, 11, 73, 803
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
845 : 1, 5, 13, 65, 169, 845
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,894,803,990,845, is 1.
Now, the common factors can be found like this.
998:2x 499
894:2x 3x 149
803:11x 73
990:2x 3x 3x 5x 11
845:5x 13x 13
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 5x 11 = 660
Therefore, the value for common factors is 660.
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 = 599343098725800/(1x660)
LCM = 599343098725800/660
LCM = 908095604130
Thus, we can understand that the LCM of 998,894,803,990,845 is 908095604130.
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FAQs on LCM of 998, 894, 803, 990, 845
1. What is the LCM of 998, 894, 803, 990, 845?
Answer: LCM of 998, 894, 803, 990, 845 is 908095604130.
2. How to calculate the LCM of 998, 894, 803, 990, 845?
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 998, 894, 803, 990, 845.
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}.