LCM of 311, 988, 500, 922, 566
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 311, 988, 500, 922, 566 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, 988, 500, 922, 566. So, keep reading to learn more.
Given numbers are 311,988,500,922,566
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 311,988,500,922,566 is 5010888135500.
Find LCM of 311,988,500,922,566 with Prime Factorization
| 2 | 311, 988, 500, 922, 566 |
| 2 | 311, 494, 250, 461, 283 |
| 311, 247, 125, 461, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 311 x 247 x 125 x 461 x 283 = 5010888135500
Therefore, the lowest common multiple of 311,988,500,922,566 is 5010888135500.
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 988 x 500 x 922 x 566 = 80174210168000
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
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
922 : 1, 2, 461, 922
566 : 1, 2, 283, 566
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,988,500,922,566, is 1.
Now, the common factors can be found like this.
311:311
988:2x 2x 13x 19
500:2x 2x 5x 5x 5
922:2x 461
566:2x 283
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 2 = 16
Therefore, the value for common factors is 16.
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 = 80174210168000/(1x16)
LCM = 80174210168000/16
LCM = 5010888135500
Thus, we can understand that the LCM of 311,988,500,922,566 is 5010888135500.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 311, 988, 500, 922, 566
1. What is the LCM of 311, 988, 500, 922, 566?
Answer: LCM of 311, 988, 500, 922, 566 is 5010888135500.
2. How to calculate the LCM of 311, 988, 500, 922, 566?
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, 988, 500, 922, 566.
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}.