LCM of 511, 904, 483, 175, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 511, 904, 483, 175, 385 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 511, 904, 483, 175, 385. So, keep reading to learn more.
Given numbers are 511,904,483,175,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 511,904,483,175,385 is 8765387400.
Find LCM of 511,904,483,175,385 with Prime Factorization
| 5 | 511, 904, 483, 175, 385 |
| 7 | 511, 904, 483, 35, 77 |
| 73, 904, 69, 5, 11 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 73 x 904 x 69 x 5 x 11 = 8765387400
Therefore, the lowest common multiple of 511,904,483,175,385 is 8765387400.
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.
511 x 904 x 483 x 175 x 385 = 15032639391000
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.
511 : 1, 7, 73, 511
904 : 1, 2, 4, 8, 113, 226, 452, 904
483 : 1, 3, 7, 21, 23, 69, 161, 483
175 : 1, 5, 7, 25, 35, 175
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,904,483,175,385, is 1.
Now, the common factors can be found like this.
511:7x 73
904:2x 2x 2x 113
483:3x 7x 23
175:5x 5x 7
385:5x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 7x 7 = 1715
Therefore, the value for common factors is 1715.
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 = 15032639391000/(1x1715)
LCM = 15032639391000/1715
LCM = 8765387400
Thus, we can understand that the LCM of 511,904,483,175,385 is 8765387400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 511, 904, 483, 175, 385
1. What is the LCM of 511, 904, 483, 175, 385?
Answer: LCM of 511, 904, 483, 175, 385 is 8765387400.
2. How to calculate the LCM of 511, 904, 483, 175, 385?
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 511, 904, 483, 175, 385.
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}.