LCM of 928, 864, 814, 976
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 928, 864, 814, 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 928, 864, 814, 976. So, keep reading to learn more.
Given numbers are 928,864,814,976
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 928,864,814,976 is 622065312.
Find LCM of 928,864,814,976 with Prime Factorization
| 2 | 928, 864, 814, 976 |
| 2 | 464, 432, 407, 488 |
| 2 | 232, 216, 407, 244 |
| 2 | 116, 108, 407, 122 |
| 2 | 58, 54, 407, 61 |
| 29, 27, 407, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 29 x 27 x 407 x 61 = 622065312
Therefore, the lowest common multiple of 928,864,814,976 is 622065312.
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.
928 x 864 x 814 x 976 = 636994879488
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.
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
814 : 1, 2, 11, 22, 37, 74, 407, 814
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,864,814,976, is 2.
Now, the common factors can be found like this.
928:2x 2x 2x 2x 2x 29
864:2x 2x 2x 2x 2x 3x 3x 3
814:2x 11x 37
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 2x 2x 2x 2x 2x 2x 2 = 512
Therefore, the value for common factors is 512.
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 = 636994879488/(2x512)
LCM = 636994879488/1024
LCM = 622065312
Thus, we can understand that the LCM of 928,864,814,976 is 622065312.
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FAQs on LCM of 928, 864, 814, 976
1. What is the LCM of 928, 864, 814, 976?
Answer: LCM of 928, 864, 814, 976 is 622065312.
2. How to calculate the LCM of 928, 864, 814, 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 928, 864, 814, 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}.