LCM of 928, 272, 514, 174, 601
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 928, 272, 514, 174, 601 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, 272, 514, 174, 601. So, keep reading to learn more.
Given numbers are 928,272,514,174,601
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 928,272,514,174,601 is 7310140896.
Find LCM of 928,272,514,174,601 with Prime Factorization
| 2 | 928, 272, 514, 174, 601 |
| 2 | 464, 136, 257, 87, 601 |
| 2 | 232, 68, 257, 87, 601 |
| 2 | 116, 34, 257, 87, 601 |
| 29 | 58, 17, 257, 87, 601 |
| 2, 17, 257, 3, 601 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 29 x 2 x 17 x 257 x 3 x 601 = 7310140896
Therefore, the lowest common multiple of 928,272,514,174,601 is 7310140896.
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 272 x 514 x 174 x 601 = 13567621502976
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
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
514 : 1, 2, 257, 514
174 : 1, 2, 3, 6, 29, 58, 87, 174
601 : 1, 601
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,272,514,174,601, is 1.
Now, the common factors can be found like this.
928:2x 2x 2x 2x 2x 29
272:2x 2x 2x 2x 17
514:2x 257
174:2x 3x 29
601:601
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 29 = 1856
Therefore, the value for common factors is 1856.
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 = 13567621502976/(1x1856)
LCM = 13567621502976/1856
LCM = 7310140896
Thus, we can understand that the LCM of 928,272,514,174,601 is 7310140896.
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FAQs on LCM of 928, 272, 514, 174, 601
1. What is the LCM of 928, 272, 514, 174, 601?
Answer: LCM of 928, 272, 514, 174, 601 is 7310140896.
2. How to calculate the LCM of 928, 272, 514, 174, 601?
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, 272, 514, 174, 601.
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}.