LCM of 144, 177, 979, 162, 831
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 144, 177, 979, 162, 831 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 144, 177, 979, 162, 831. So, keep reading to learn more.
Given numbers are 144,177,979,162,831
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,177,979,162,831 is 20735736912.
Find LCM of 144,177,979,162,831 with Prime Factorization
| 2 | 144, 177, 979, 162, 831 |
| 3 | 72, 177, 979, 81, 831 |
| 3 | 24, 59, 979, 27, 277 |
| 8, 59, 979, 9, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 8 x 59 x 979 x 9 x 277 = 20735736912
Therefore, the lowest common multiple of 144,177,979,162,831 is 20735736912.
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.
144 x 177 x 979 x 162 x 831 = 3359189379744
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.
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
177 : 1, 3, 59, 177
979 : 1, 11, 89, 979
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
831 : 1, 3, 277, 831
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,177,979,162,831, is 1.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
177:3x 59
979:11x 89
162:2x 3x 3x 3x 3
831:3x 277
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 3359189379744/(1x162)
LCM = 3359189379744/162
LCM = 20735736912
Thus, we can understand that the LCM of 144,177,979,162,831 is 20735736912.
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FAQs on LCM of 144, 177, 979, 162, 831
1. What is the LCM of 144, 177, 979, 162, 831?
Answer: LCM of 144, 177, 979, 162, 831 is 20735736912.
2. How to calculate the LCM of 144, 177, 979, 162, 831?
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 144, 177, 979, 162, 831.
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}.