LCM of 308, 451, 728, 514, 928
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 308, 451, 728, 514, 928 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 308, 451, 728, 514, 928. So, keep reading to learn more.
Given numbers are 308,451,728,514,928
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,451,728,514,928 is 9788114336.
Find LCM of 308,451,728,514,928 with Prime Factorization
| 2 | 308, 451, 728, 514, 928 |
| 2 | 154, 451, 364, 257, 464 |
| 2 | 77, 451, 182, 257, 232 |
| 7 | 77, 451, 91, 257, 116 |
| 11 | 11, 451, 13, 257, 116 |
| 1, 41, 13, 257, 116 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 1 x 41 x 13 x 257 x 116 = 9788114336
Therefore, the lowest common multiple of 308,451,728,514,928 is 9788114336.
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.
308 x 451 x 728 x 514 x 928 = 48235827447808
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
451 : 1, 11, 41, 451
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
514 : 1, 2, 257, 514
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,451,728,514,928, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
451:11x 41
728:2x 2x 2x 7x 13
514:2x 257
928:2x 2x 2x 2x 2x 29
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 7x 11 = 4928
Therefore, the value for common factors is 4928.
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 = 48235827447808/(1x4928)
LCM = 48235827447808/4928
LCM = 9788114336
Thus, we can understand that the LCM of 308,451,728,514,928 is 9788114336.
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FAQs on LCM of 308, 451, 728, 514, 928
1. What is the LCM of 308, 451, 728, 514, 928?
Answer: LCM of 308, 451, 728, 514, 928 is 9788114336.
2. How to calculate the LCM of 308, 451, 728, 514, 928?
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 308, 451, 728, 514, 928.
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}.