LCM of 997, 990, 984, 855
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 997, 990, 984, 855 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 997, 990, 984, 855. So, keep reading to learn more.
Given numbers are 997,990,984,855
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 997,990,984,855 is 3075585480.
Find LCM of 997,990,984,855 with Prime Factorization
| 2 | 997, 990, 984, 855 |
| 3 | 997, 495, 492, 855 |
| 3 | 997, 165, 164, 285 |
| 5 | 997, 55, 164, 95 |
| 997, 11, 164, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 997 x 11 x 164 x 19 = 3075585480
Therefore, the lowest common multiple of 997,990,984,855 is 3075585480.
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.
997 x 990 x 984 x 855 = 830408079600
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.
997 : 1, 997
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
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,990,984,855, is 1.
Now, the common factors can be found like this.
997:997
990:2x 3x 3x 5x 11
984:2x 2x 2x 3x 41
855:3x 3x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5 = 270
Therefore, the value for common factors is 270.
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 = 830408079600/(1x270)
LCM = 830408079600/270
LCM = 3075585480
Thus, we can understand that the LCM of 997,990,984,855 is 3075585480.
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FAQs on LCM of 997, 990, 984, 855
1. What is the LCM of 997, 990, 984, 855?
Answer: LCM of 997, 990, 984, 855 is 3075585480.
2. How to calculate the LCM of 997, 990, 984, 855?
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 997, 990, 984, 855.
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}.