LCM of 517, 996, 198, 979, 167
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 517, 996, 198, 979, 167 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 517, 996, 198, 979, 167. So, keep reading to learn more.
Given numbers are 517,996,198,979,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,996,198,979,167 is 22960302948.
Find LCM of 517,996,198,979,167 with Prime Factorization
| 2 | 517, 996, 198, 979, 167 |
| 3 | 517, 498, 99, 979, 167 |
| 11 | 517, 166, 33, 979, 167 |
| 47, 166, 3, 89, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 47 x 166 x 3 x 89 x 167 = 22960302948
Therefore, the lowest common multiple of 517,996,198,979,167 is 22960302948.
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.
517 x 996 x 198 x 979 x 167 = 16669179940248
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.
517 : 1, 11, 47, 517
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
979 : 1, 11, 89, 979
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,996,198,979,167, is 1.
Now, the common factors can be found like this.
517:11x 47
996:2x 2x 3x 83
198:2x 3x 3x 11
979:11x 89
167:167
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 11x 11 = 726
Therefore, the value for common factors is 726.
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 = 16669179940248/(1x726)
LCM = 16669179940248/726
LCM = 22960302948
Thus, we can understand that the LCM of 517,996,198,979,167 is 22960302948.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 517, 996, 198, 979, 167
1. What is the LCM of 517, 996, 198, 979, 167?
Answer: LCM of 517, 996, 198, 979, 167 is 22960302948.
2. How to calculate the LCM of 517, 996, 198, 979, 167?
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 517, 996, 198, 979, 167.
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}.