LCM of 523, 721, 927, 990, 847
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 523, 721, 927, 990, 847 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 523, 721, 927, 990, 847. So, keep reading to learn more.
Given numbers are 523,721,927,990,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 523,721,927,990,847 is 4106433870.
Find LCM of 523,721,927,990,847 with Prime Factorization
| 3 | 523, 721, 927, 990, 847 |
| 3 | 523, 721, 309, 330, 847 |
| 7 | 523, 721, 103, 110, 847 |
| 11 | 523, 103, 103, 110, 121 |
| 103 | 523, 103, 103, 10, 11 |
| 523, 1, 1, 10, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 11 x 103 x 523 x 1 x 1 x 10 x 11 = 4106433870
Therefore, the lowest common multiple of 523,721,927,990,847 is 4106433870.
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.
523 x 721 x 927 x 990 x 847 = 293113143206730
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.
523 : 1, 523
721 : 1, 7, 103, 721
927 : 1, 3, 9, 103, 309, 927
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,721,927,990,847, is 1.
Now, the common factors can be found like this.
523:523
721:7x 103
927:3x 3x 103
990:2x 3x 3x 5x 11
847:7x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 11x 103 = 71379
Therefore, the value for common factors is 71379.
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 = 293113143206730/(1x71379)
LCM = 293113143206730/71379
LCM = 4106433870
Thus, we can understand that the LCM of 523,721,927,990,847 is 4106433870.
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FAQs on LCM of 523, 721, 927, 990, 847
1. What is the LCM of 523, 721, 927, 990, 847?
Answer: LCM of 523, 721, 927, 990, 847 is 4106433870.
2. How to calculate the LCM of 523, 721, 927, 990, 847?
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 523, 721, 927, 990, 847.
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}.