LCM of 689, 871, 660, 806, 884
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 871, 660, 806, 884 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 689, 871, 660, 806, 884. So, keep reading to learn more.
Given numbers are 689,871,660,806,884
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,871,660,806,884 is 16056414660.
Find LCM of 689,871,660,806,884 with Prime Factorization
| 2 | 689, 871, 660, 806, 884 |
| 2 | 689, 871, 330, 403, 442 |
| 13 | 689, 871, 165, 403, 221 |
| 53, 67, 165, 31, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 53 x 67 x 165 x 31 x 17 = 16056414660
Therefore, the lowest common multiple of 689,871,660,806,884 is 16056414660.
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.
689 x 871 x 660 x 806 x 884 = 282207544064160
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.
689 : 1, 13, 53, 689
871 : 1, 13, 67, 871
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
806 : 1, 2, 13, 26, 31, 62, 403, 806
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,871,660,806,884, is 1.
Now, the common factors can be found like this.
689:13x 53
871:13x 67
660:2x 2x 3x 5x 11
806:2x 13x 31
884:2x 2x 13x 17
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 13x 13x 13 = 17576
Therefore, the value for common factors is 17576.
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 = 282207544064160/(1x17576)
LCM = 282207544064160/17576
LCM = 16056414660
Thus, we can understand that the LCM of 689,871,660,806,884 is 16056414660.
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FAQs on LCM of 689, 871, 660, 806, 884
1. What is the LCM of 689, 871, 660, 806, 884?
Answer: LCM of 689, 871, 660, 806, 884 is 16056414660.
2. How to calculate the LCM of 689, 871, 660, 806, 884?
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 689, 871, 660, 806, 884.
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}.