LCM of 622, 759, 836, 311
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 622, 759, 836, 311 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 622, 759, 836, 311. So, keep reading to learn more.
Given numbers are 622,759,836,311
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 622,759,836,311 is 17939724.
Find LCM of 622,759,836,311 with Prime Factorization
| 2 | 622, 759, 836, 311 |
| 11 | 311, 759, 418, 311 |
| 311 | 311, 69, 38, 311 |
| 1, 69, 38, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 311 x 1 x 69 x 38 x 1 = 17939724
Therefore, the lowest common multiple of 622,759,836,311 is 17939724.
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.
622 x 759 x 836 x 311 = 122743591608
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.
622 : 1, 2, 311, 622
759 : 1, 3, 11, 23, 33, 69, 253, 759
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
311 : 1, 311
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 622,759,836,311, is 1.
Now, the common factors can be found like this.
622:2x 311
759:3x 11x 23
836:2x 2x 11x 19
311:311
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 311 = 6842
Therefore, the value for common factors is 6842.
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 = 122743591608/(1x6842)
LCM = 122743591608/6842
LCM = 17939724
Thus, we can understand that the LCM of 622,759,836,311 is 17939724.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 622, 759, 836, 311
1. What is the LCM of 622, 759, 836, 311?
Answer: LCM of 622, 759, 836, 311 is 17939724.
2. How to calculate the LCM of 622, 759, 836, 311?
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 622, 759, 836, 311.
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}.