LCM of 831, 984, 100, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 831, 984, 100, 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 831, 984, 100, 990. So, keep reading to learn more.
Given numbers are 831,984,100,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 831,984,100,990 is 224868600.
Find LCM of 831,984,100,990 with Prime Factorization
| 2 | 831, 984, 100, 990 |
| 2 | 831, 492, 50, 495 |
| 3 | 831, 246, 25, 495 |
| 5 | 277, 82, 25, 165 |
| 277, 82, 5, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 277 x 82 x 5 x 33 = 224868600
Therefore, the lowest common multiple of 831,984,100,990 is 224868600.
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.
831 x 984 x 100 x 990 = 80952696000
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.
831 : 1, 3, 277, 831
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,984,100,990, is 1.
Now, the common factors can be found like this.
831:3x 277
984:2x 2x 2x 3x 41
100:2x 2x 5x 5
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 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 80952696000/(1x360)
LCM = 80952696000/360
LCM = 224868600
Thus, we can understand that the LCM of 831,984,100,990 is 224868600.
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FAQs on LCM of 831, 984, 100, 990
1. What is the LCM of 831, 984, 100, 990?
Answer: LCM of 831, 984, 100, 990 is 224868600.
2. How to calculate the LCM of 831, 984, 100, 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 831, 984, 100, 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}.