LCM of 561, 799, 898, 333, 518
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 799, 898, 333, 518 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 561, 799, 898, 333, 518. So, keep reading to learn more.
Given numbers are 561,799,898,333,518
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,799,898,333,518 is 18397468782.
Find LCM of 561,799,898,333,518 with Prime Factorization
| 2 | 561, 799, 898, 333, 518 |
| 3 | 561, 799, 449, 333, 259 |
| 17 | 187, 799, 449, 111, 259 |
| 37 | 11, 47, 449, 111, 259 |
| 11, 47, 449, 3, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 37 x 11 x 47 x 449 x 3 x 7 = 18397468782
Therefore, the lowest common multiple of 561,799,898,333,518 is 18397468782.
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.
561 x 799 x 898 x 333 x 518 = 69432047183268
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
799 : 1, 17, 47, 799
898 : 1, 2, 449, 898
333 : 1, 3, 9, 37, 111, 333
518 : 1, 2, 7, 14, 37, 74, 259, 518
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,799,898,333,518, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
799:17x 47
898:2x 449
333:3x 3x 37
518:2x 7x 37
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 17x 37 = 3774
Therefore, the value for common factors is 3774.
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 = 69432047183268/(1x3774)
LCM = 69432047183268/3774
LCM = 18397468782
Thus, we can understand that the LCM of 561,799,898,333,518 is 18397468782.
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FAQs on LCM of 561, 799, 898, 333, 518
1. What is the LCM of 561, 799, 898, 333, 518?
Answer: LCM of 561, 799, 898, 333, 518 is 18397468782.
2. How to calculate the LCM of 561, 799, 898, 333, 518?
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 561, 799, 898, 333, 518.
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}.