LCM of 979, 486, 135, 649
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 979, 486, 135, 649 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 979, 486, 135, 649. So, keep reading to learn more.
Given numbers are 979,486,135,649
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,486,135,649 is 140359230.
Find LCM of 979,486,135,649 with Prime Factorization
| 3 | 979, 486, 135, 649 |
| 3 | 979, 162, 45, 649 |
| 3 | 979, 54, 15, 649 |
| 11 | 979, 18, 5, 649 |
| 89, 18, 5, 59 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 11 x 89 x 18 x 5 x 59 = 140359230
Therefore, the lowest common multiple of 979,486,135,649 is 140359230.
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.
979 x 486 x 135 x 649 = 41686691310
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.
979 : 1, 11, 89, 979
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
135 : 1, 3, 5, 9, 15, 27, 45, 135
649 : 1, 11, 59, 649
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,486,135,649, is 1.
Now, the common factors can be found like this.
979:11x 89
486:2x 3x 3x 3x 3x 3
135:3x 3x 3x 5
649:11x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 11 = 297
Therefore, the value for common factors is 297.
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 = 41686691310/(1x297)
LCM = 41686691310/297
LCM = 140359230
Thus, we can understand that the LCM of 979,486,135,649 is 140359230.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 979, 486, 135, 649
1. What is the LCM of 979, 486, 135, 649?
Answer: LCM of 979, 486, 135, 649 is 140359230.
2. How to calculate the LCM of 979, 486, 135, 649?
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 979, 486, 135, 649.
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}.