LCM of 998, 979, 438, 228, 979
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 998, 979, 438, 228, 979 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 998, 979, 438, 228, 979. So, keep reading to learn more.
Given numbers are 998,979,438,228,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,979,438,228,979 is 8130943524.
Find LCM of 998,979,438,228,979 with Prime Factorization
| 2 | 998, 979, 438, 228, 979 |
| 3 | 499, 979, 219, 114, 979 |
| 11 | 499, 979, 73, 38, 979 |
| 89 | 499, 89, 73, 38, 89 |
| 499, 1, 73, 38, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 89 x 499 x 1 x 73 x 38 x 1 = 8130943524
Therefore, the lowest common multiple of 998,979,438,228,979 is 8130943524.
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.
998 x 979 x 438 x 228 x 979 = 95522324519952
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.
998 : 1, 2, 499, 998
979 : 1, 11, 89, 979
438 : 1, 2, 3, 6, 73, 146, 219, 438
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,979,438,228,979, is 1.
Now, the common factors can be found like this.
998:2x 499
979:11x 89
438:2x 3x 73
228:2x 2x 3x 19
979:11x 89
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 11x 89 = 11748
Therefore, the value for common factors is 11748.
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 = 95522324519952/(1x11748)
LCM = 95522324519952/11748
LCM = 8130943524
Thus, we can understand that the LCM of 998,979,438,228,979 is 8130943524.
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FAQs on LCM of 998, 979, 438, 228, 979
1. What is the LCM of 998, 979, 438, 228, 979?
Answer: LCM of 998, 979, 438, 228, 979 is 8130943524.
2. How to calculate the LCM of 998, 979, 438, 228, 979?
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 998, 979, 438, 228, 979.
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}.