LCM of 299, 486, 308, 976
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 299, 486, 308, 976 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 299, 486, 308, 976. So, keep reading to learn more.
Given numbers are 299,486,308,976
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 299,486,308,976 is 5460318864.
Find LCM of 299,486,308,976 with Prime Factorization
| 2 | 299, 486, 308, 976 |
| 2 | 299, 243, 154, 488 |
| 299, 243, 77, 244 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 299 x 243 x 77 x 244 = 5460318864
Therefore, the lowest common multiple of 299,486,308,976 is 5460318864.
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.
299 x 486 x 308 x 976 = 43682550912
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.
299 : 1, 13, 23, 299
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,486,308,976, is 1.
Now, the common factors can be found like this.
299:13x 23
486:2x 3x 3x 3x 3x 3
308:2x 2x 7x 11
976:2x 2x 2x 2x 61
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 = 43682550912/(1x8)
LCM = 43682550912/8
LCM = 5460318864
Thus, we can understand that the LCM of 299,486,308,976 is 5460318864.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 299, 486, 308, 976
1. What is the LCM of 299, 486, 308, 976?
Answer: LCM of 299, 486, 308, 976 is 5460318864.
2. How to calculate the LCM of 299, 486, 308, 976?
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 299, 486, 308, 976.
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}.