LCM of 989, 381, 801, 998
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 381, 801, 998 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 989, 381, 801, 998. So, keep reading to learn more.
Given numbers are 989,381,801,998
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,381,801,998 is 100406786994.
Find LCM of 989,381,801,998 with Prime Factorization
| 3 | 989, 381, 801, 998 |
| 989, 127, 267, 998 |
Multiply the prime numbers at the bottom and the left side.
3 x 989 x 127 x 267 x 998 = 100406786994
Therefore, the lowest common multiple of 989,381,801,998 is 100406786994.
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.
989 x 381 x 801 x 998 = 301220360982
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.
989 : 1, 23, 43, 989
381 : 1, 3, 127, 381
801 : 1, 3, 9, 89, 267, 801
998 : 1, 2, 499, 998
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,381,801,998, is 1.
Now, the common factors can be found like this.
989:23x 43
381:3x 127
801:3x 3x 89
998:2x 499
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 301220360982/(1x3)
LCM = 301220360982/3
LCM = 100406786994
Thus, we can understand that the LCM of 989,381,801,998 is 100406786994.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 989, 381, 801, 998
1. What is the LCM of 989, 381, 801, 998?
Answer: LCM of 989, 381, 801, 998 is 100406786994.
2. How to calculate the LCM of 989, 381, 801, 998?
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 989, 381, 801, 998.
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}.