LCM of 826, 385, 143, 806, 910
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 826, 385, 143, 806, 910 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 826, 385, 143, 806, 910. So, keep reading to learn more.
Given numbers are 826,385,143,806,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 826,385,143,806,910 is 18308290.
Find LCM of 826,385,143,806,910 with Prime Factorization
| 2 | 826, 385, 143, 806, 910 |
| 5 | 413, 385, 143, 403, 455 |
| 7 | 413, 77, 143, 403, 91 |
| 11 | 59, 11, 143, 403, 13 |
| 13 | 59, 1, 13, 403, 13 |
| 59, 1, 1, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 13 x 59 x 1 x 1 x 31 x 1 = 18308290
Therefore, the lowest common multiple of 826,385,143,806,910 is 18308290.
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.
826 x 385 x 143 x 806 x 910 = 33354408887800
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.
826 : 1, 2, 7, 14, 59, 118, 413, 826
385 : 1, 5, 7, 11, 35, 55, 77, 385
143 : 1, 11, 13, 143
806 : 1, 2, 13, 26, 31, 62, 403, 806
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,385,143,806,910, is 1.
Now, the common factors can be found like this.
826:2x 7x 59
385:5x 7x 11
143:11x 13
806:2x 13x 31
910:2x 5x 7x 13
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 5x 7x 7x 11x 13x 13 = 1821820
Therefore, the value for common factors is 1821820.
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 = 33354408887800/(1x1821820)
LCM = 33354408887800/1821820
LCM = 18308290
Thus, we can understand that the LCM of 826,385,143,806,910 is 18308290.
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FAQs on LCM of 826, 385, 143, 806, 910
1. What is the LCM of 826, 385, 143, 806, 910?
Answer: LCM of 826, 385, 143, 806, 910 is 18308290.
2. How to calculate the LCM of 826, 385, 143, 806, 910?
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 826, 385, 143, 806, 910.
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}.