LCM of 906, 871, 806, 494, 865
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 871, 806, 494, 865 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 906, 871, 806, 494, 865. So, keep reading to learn more.
Given numbers are 906,871,806,494,865
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,871,806,494,865 is 402047860110.
Find LCM of 906,871,806,494,865 with Prime Factorization
| 2 | 906, 871, 806, 494, 865 |
| 13 | 453, 871, 403, 247, 865 |
| 453, 67, 31, 19, 865 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 453 x 67 x 31 x 19 x 865 = 402047860110
Therefore, the lowest common multiple of 906,871,806,494,865 is 402047860110.
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.
906 x 871 x 806 x 494 x 865 = 271784353434360
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
871 : 1, 13, 67, 871
806 : 1, 2, 13, 26, 31, 62, 403, 806
494 : 1, 2, 13, 19, 26, 38, 247, 494
865 : 1, 5, 173, 865
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,871,806,494,865, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
871:13x 67
806:2x 13x 31
494:2x 13x 19
865:5x 173
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 13x 13 = 676
Therefore, the value for common factors is 676.
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 = 271784353434360/(1x676)
LCM = 271784353434360/676
LCM = 402047860110
Thus, we can understand that the LCM of 906,871,806,494,865 is 402047860110.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 906, 871, 806, 494, 865
1. What is the LCM of 906, 871, 806, 494, 865?
Answer: LCM of 906, 871, 806, 494, 865 is 402047860110.
2. How to calculate the LCM of 906, 871, 806, 494, 865?
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 906, 871, 806, 494, 865.
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}.