LCM of 976, 876, 374, 488, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 976, 876, 374, 488, 198 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 976, 876, 374, 488, 198. So, keep reading to learn more.
Given numbers are 976,876,374,488,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 976,876,374,488,198 is 119910384.
Find LCM of 976,876,374,488,198 with Prime Factorization
| 2 | 976, 876, 374, 488, 198 |
| 2 | 488, 438, 187, 244, 99 |
| 2 | 122, 219, 187, 244, 99 |
| 3 | 61, 219, 187, 122, 99 |
| 11 | 61, 73, 187, 122, 33 |
| 61 | 61, 73, 17, 122, 3 |
| 1, 73, 17, 2, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 61 x 1 x 73 x 17 x 2 x 3 = 119910384
Therefore, the lowest common multiple of 976,876,374,488,198 is 119910384.
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.
976 x 876 x 374 x 488 x 198 = 30896589182976
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.
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
374 : 1, 2, 11, 17, 22, 34, 187, 374
488 : 1, 2, 4, 8, 61, 122, 244, 488
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,876,374,488,198, is 2.
Now, the common factors can be found like this.
976:2x 2x 2x 2x 61
876:2x 2x 3x 73
374:2x 11x 17
488:2x 2x 2x 61
198:2x 3x 3x 11
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 2x 2x 2x 3x 11x 61 = 128832
Therefore, the value for common factors is 128832.
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 = 30896589182976/(2x128832)
LCM = 30896589182976/257664
LCM = 119910384
Thus, we can understand that the LCM of 976,876,374,488,198 is 119910384.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 976, 876, 374, 488, 198
1. What is the LCM of 976, 876, 374, 488, 198?
Answer: LCM of 976, 876, 374, 488, 198 is 119910384.
2. How to calculate the LCM of 976, 876, 374, 488, 198?
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 976, 876, 374, 488, 198.
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}.