LCM of 851, 959, 559, 904, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 851, 959, 559, 904, 984 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 851, 959, 559, 904, 984. So, keep reading to learn more.
Given numbers are 851,959,559,904,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 851,959,559,904,984 is 50726338687752.
Find LCM of 851,959,559,904,984 with Prime Factorization
| 2 | 851, 959, 559, 904, 984 |
| 2 | 851, 959, 559, 452, 492 |
| 2 | 851, 959, 559, 226, 246 |
| 851, 959, 559, 113, 123 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 851 x 959 x 559 x 113 x 123 = 50726338687752
Therefore, the lowest common multiple of 851,959,559,904,984 is 50726338687752.
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.
851 x 959 x 559 x 904 x 984 = 405810709502016
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.
851 : 1, 23, 37, 851
959 : 1, 7, 137, 959
559 : 1, 13, 43, 559
904 : 1, 2, 4, 8, 113, 226, 452, 904
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,959,559,904,984, is 1.
Now, the common factors can be found like this.
851:23x 37
959:7x 137
559:13x 43
904:2x 2x 2x 113
984:2x 2x 2x 3x 41
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 2 = 8
Therefore, the value for common factors is 8.
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 = 405810709502016/(1x8)
LCM = 405810709502016/8
LCM = 50726338687752
Thus, we can understand that the LCM of 851,959,559,904,984 is 50726338687752.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 851, 959, 559, 904, 984
1. What is the LCM of 851, 959, 559, 904, 984?
Answer: LCM of 851, 959, 559, 904, 984 is 50726338687752.
2. How to calculate the LCM of 851, 959, 559, 904, 984?
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 851, 959, 559, 904, 984.
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}.