LCM of 484, 934, 608, 304, 503
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 934, 608, 304, 503 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 484, 934, 608, 304, 503. So, keep reading to learn more.
Given numbers are 484,934,608,304,503
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,934,608,304,503 is 17281196768.
Find LCM of 484,934,608,304,503 with Prime Factorization
| 2 | 484, 934, 608, 304, 503 |
| 2 | 242, 467, 304, 152, 503 |
| 2 | 121, 467, 76, 152, 503 |
| 2 | 121, 467, 38, 76, 503 |
| 19 | 121, 467, 19, 38, 503 |
| 121, 467, 1, 2, 503 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 19 x 121 x 467 x 1 x 2 x 503 = 17281196768
Therefore, the lowest common multiple of 484,934,608,304,503 is 17281196768.
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.
484 x 934 x 608 x 304 x 503 = 42027870539776
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
934 : 1, 2, 467, 934
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
503 : 1, 503
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,934,608,304,503, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
934:2x 467
608:2x 2x 2x 2x 2x 19
304:2x 2x 2x 2x 19
503:503
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 19 = 2432
Therefore, the value for common factors is 2432.
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 = 42027870539776/(1x2432)
LCM = 42027870539776/2432
LCM = 17281196768
Thus, we can understand that the LCM of 484,934,608,304,503 is 17281196768.
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FAQs on LCM of 484, 934, 608, 304, 503
1. What is the LCM of 484, 934, 608, 304, 503?
Answer: LCM of 484, 934, 608, 304, 503 is 17281196768.
2. How to calculate the LCM of 484, 934, 608, 304, 503?
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 484, 934, 608, 304, 503.
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}.