LCM of 311, 504, 622, 386
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 311, 504, 622, 386 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 311, 504, 622, 386. So, keep reading to learn more.
Given numbers are 311,504,622,386
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 311,504,622,386 is 30251592.
Find LCM of 311,504,622,386 with Prime Factorization
| 2 | 311, 504, 622, 386 |
| 311 | 311, 252, 311, 193 |
| 1, 252, 1, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 311 x 1 x 252 x 1 x 193 = 30251592
Therefore, the lowest common multiple of 311,504,622,386 is 30251592.
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.
311 x 504 x 622 x 386 = 37632980448
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.
311 : 1, 311
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
622 : 1, 2, 311, 622
386 : 1, 2, 193, 386
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,504,622,386, is 1.
Now, the common factors can be found like this.
311:311
504:2x 2x 2x 3x 3x 7
622:2x 311
386:2x 193
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 311 = 1244
Therefore, the value for common factors is 1244.
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 = 37632980448/(1x1244)
LCM = 37632980448/1244
LCM = 30251592
Thus, we can understand that the LCM of 311,504,622,386 is 30251592.
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FAQs on LCM of 311, 504, 622, 386
1. What is the LCM of 311, 504, 622, 386?
Answer: LCM of 311, 504, 622, 386 is 30251592.
2. How to calculate the LCM of 311, 504, 622, 386?
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 311, 504, 622, 386.
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}.