LCM of 991, 960, 589, 217, 404
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 991, 960, 589, 217, 404 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 991, 960, 589, 217, 404. So, keep reading to learn more.
Given numbers are 991,960,589,217,404
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 991,960,589,217,404 is 396168185280.
Find LCM of 991,960,589,217,404 with Prime Factorization
| 2 | 991, 960, 589, 217, 404 |
| 2 | 991, 480, 589, 217, 202 |
| 31 | 991, 240, 589, 217, 101 |
| 991, 240, 19, 7, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 991 x 240 x 19 x 7 x 101 = 396168185280
Therefore, the lowest common multiple of 991,960,589,217,404 is 396168185280.
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.
991 x 960 x 589 x 217 x 404 = 49124854974720
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.
991 : 1, 991
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
589 : 1, 19, 31, 589
217 : 1, 7, 31, 217
404 : 1, 2, 4, 101, 202, 404
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,960,589,217,404, is 1.
Now, the common factors can be found like this.
991:991
960:2x 2x 2x 2x 2x 2x 3x 5
589:19x 31
217:7x 31
404:2x 2x 101
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 31 = 124
Therefore, the value for common factors is 124.
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 = 49124854974720/(1x124)
LCM = 49124854974720/124
LCM = 396168185280
Thus, we can understand that the LCM of 991,960,589,217,404 is 396168185280.
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FAQs on LCM of 991, 960, 589, 217, 404
1. What is the LCM of 991, 960, 589, 217, 404?
Answer: LCM of 991, 960, 589, 217, 404 is 396168185280.
2. How to calculate the LCM of 991, 960, 589, 217, 404?
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 991, 960, 589, 217, 404.
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}.