LCM of 799, 188, 122, 244, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 188, 122, 244, 920 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 799, 188, 122, 244, 920. So, keep reading to learn more.
Given numbers are 799,188,122,244,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,188,122,244,920 is 44839880.
Find LCM of 799,188,122,244,920 with Prime Factorization
| 2 | 799, 188, 122, 244, 920 |
| 2 | 799, 94, 61, 122, 460 |
| 47 | 799, 47, 61, 61, 230 |
| 61 | 17, 1, 61, 61, 230 |
| 17, 1, 1, 1, 230 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 47 x 61 x 17 x 1 x 1 x 1 x 230 = 44839880
Therefore, the lowest common multiple of 799,188,122,244,920 is 44839880.
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.
799 x 188 x 122 x 244 x 920 = 4113789950720
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.
799 : 1, 17, 47, 799
188 : 1, 2, 4, 47, 94, 188
122 : 1, 2, 61, 122
244 : 1, 2, 4, 61, 122, 244
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,188,122,244,920, is 1.
Now, the common factors can be found like this.
799:17x 47
188:2x 2x 47
122:2x 61
244:2x 2x 61
920:2x 2x 2x 5x 23
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 2x 2x 47x 61 = 91744
Therefore, the value for common factors is 91744.
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 = 4113789950720/(1x91744)
LCM = 4113789950720/91744
LCM = 44839880
Thus, we can understand that the LCM of 799,188,122,244,920 is 44839880.
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FAQs on LCM of 799, 188, 122, 244, 920
1. What is the LCM of 799, 188, 122, 244, 920?
Answer: LCM of 799, 188, 122, 244, 920 is 44839880.
2. How to calculate the LCM of 799, 188, 122, 244, 920?
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 799, 188, 122, 244, 920.
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}.