LCM of 991, 396, 559, 446, 520
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 991, 396, 559, 446, 520 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, 396, 559, 446, 520. So, keep reading to learn more.
Given numbers are 991,396,559,446,520
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 991,396,559,446,520 is 489198944520.
Find LCM of 991,396,559,446,520 with Prime Factorization
| 2 | 991, 396, 559, 446, 520 |
| 2 | 991, 198, 559, 223, 260 |
| 13 | 991, 99, 559, 223, 130 |
| 991, 99, 43, 223, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 991 x 99 x 43 x 223 x 10 = 489198944520
Therefore, the lowest common multiple of 991,396,559,446,520 is 489198944520.
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 396 x 559 x 446 x 520 = 50876690230080
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
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
559 : 1, 13, 43, 559
446 : 1, 2, 223, 446
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,396,559,446,520, is 1.
Now, the common factors can be found like this.
991:991
396:2x 2x 3x 3x 11
559:13x 43
446:2x 223
520:2x 2x 2x 5x 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 2x 13 = 104
Therefore, the value for common factors is 104.
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 = 50876690230080/(1x104)
LCM = 50876690230080/104
LCM = 489198944520
Thus, we can understand that the LCM of 991,396,559,446,520 is 489198944520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 991, 396, 559, 446, 520
1. What is the LCM of 991, 396, 559, 446, 520?
Answer: LCM of 991, 396, 559, 446, 520 is 489198944520.
2. How to calculate the LCM of 991, 396, 559, 446, 520?
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, 396, 559, 446, 520.
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}.