LCM of 529, 827, 904, 678, 608
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 529, 827, 904, 678, 608 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 529, 827, 904, 678, 608. So, keep reading to learn more.
Given numbers are 529,827,904,678,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 529,827,904,678,608 is 90170496096.
Find LCM of 529,827,904,678,608 with Prime Factorization
| 2 | 529, 827, 904, 678, 608 |
| 2 | 529, 827, 452, 339, 304 |
| 2 | 529, 827, 226, 339, 152 |
| 113 | 529, 827, 113, 339, 76 |
| 529, 827, 1, 3, 76 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 113 x 529 x 827 x 1 x 3 x 76 = 90170496096
Therefore, the lowest common multiple of 529,827,904,678,608 is 90170496096.
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.
529 x 827 x 904 x 678 x 608 = 163028256941568
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.
529 : 1, 23, 529
827 : 1, 827
904 : 1, 2, 4, 8, 113, 226, 452, 904
678 : 1, 2, 3, 6, 113, 226, 339, 678
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 529,827,904,678,608, is 1.
Now, the common factors can be found like this.
529:23x 23
827:827
904:2x 2x 2x 113
678:2x 3x 113
608:2x 2x 2x 2x 2x 19
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 113 = 1808
Therefore, the value for common factors is 1808.
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 = 163028256941568/(1x1808)
LCM = 163028256941568/1808
LCM = 90170496096
Thus, we can understand that the LCM of 529,827,904,678,608 is 90170496096.
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FAQs on LCM of 529, 827, 904, 678, 608
1. What is the LCM of 529, 827, 904, 678, 608?
Answer: LCM of 529, 827, 904, 678, 608 is 90170496096.
2. How to calculate the LCM of 529, 827, 904, 678, 608?
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 529, 827, 904, 678, 608.
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}.