LCM of 705, 731, 884, 859, 886
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 731, 884, 859, 886 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 705, 731, 884, 859, 886. So, keep reading to learn more.
Given numbers are 705,731,884,859,886
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,731,884,859,886 is 10197805573020.
Find LCM of 705,731,884,859,886 with Prime Factorization
| 2 | 705, 731, 884, 859, 886 |
| 17 | 705, 731, 442, 859, 443 |
| 705, 43, 26, 859, 443 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 705 x 43 x 26 x 859 x 443 = 10197805573020
Therefore, the lowest common multiple of 705,731,884,859,886 is 10197805573020.
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.
705 x 731 x 884 x 859 x 886 = 346725389482680
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
731 : 1, 17, 43, 731
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
859 : 1, 859
886 : 1, 2, 443, 886
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,731,884,859,886, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
731:17x 43
884:2x 2x 13x 17
859:859
886:2x 443
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17 = 34
Therefore, the value for common factors is 34.
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 = 346725389482680/(1x34)
LCM = 346725389482680/34
LCM = 10197805573020
Thus, we can understand that the LCM of 705,731,884,859,886 is 10197805573020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 705, 731, 884, 859, 886
1. What is the LCM of 705, 731, 884, 859, 886?
Answer: LCM of 705, 731, 884, 859, 886 is 10197805573020.
2. How to calculate the LCM of 705, 731, 884, 859, 886?
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 705, 731, 884, 859, 886.
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}.