LCM of 116, 726, 834, 649, 489
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 116, 726, 834, 649, 489 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 116, 726, 834, 649, 489. So, keep reading to learn more.
Given numbers are 116,726,834,649,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 116,726,834,649,489 is 56288416404.
Find LCM of 116,726,834,649,489 with Prime Factorization
| 2 | 116, 726, 834, 649, 489 |
| 3 | 58, 363, 417, 649, 489 |
| 11 | 58, 121, 139, 649, 163 |
| 58, 11, 139, 59, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 58 x 11 x 139 x 59 x 163 = 56288416404
Therefore, the lowest common multiple of 116,726,834,649,489 is 56288416404.
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.
116 x 726 x 834 x 649 x 489 = 22290212895984
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.
116 : 1, 2, 4, 29, 58, 116
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
834 : 1, 2, 3, 6, 139, 278, 417, 834
649 : 1, 11, 59, 649
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,726,834,649,489, is 1.
Now, the common factors can be found like this.
116:2x 2x 29
726:2x 3x 11x 11
834:2x 3x 139
649:11x 59
489:3x 163
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 3x 3x 11 = 396
Therefore, the value for common factors is 396.
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 = 22290212895984/(1x396)
LCM = 22290212895984/396
LCM = 56288416404
Thus, we can understand that the LCM of 116,726,834,649,489 is 56288416404.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 116, 726, 834, 649, 489
1. What is the LCM of 116, 726, 834, 649, 489?
Answer: LCM of 116, 726, 834, 649, 489 is 56288416404.
2. How to calculate the LCM of 116, 726, 834, 649, 489?
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 116, 726, 834, 649, 489.
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}.