LCM of 259, 338, 994, 991, 998
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 259, 338, 994, 991, 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 259, 338, 994, 991, 998. So, keep reading to learn more.
Given numbers are 259,338,994,991,998
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 259,338,994,991,998 is 3073611788338.
Find LCM of 259,338,994,991,998 with Prime Factorization
| 2 | 259, 338, 994, 991, 998 |
| 7 | 259, 169, 497, 991, 499 |
| 37, 169, 71, 991, 499 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 37 x 169 x 71 x 991 x 499 = 3073611788338
Therefore, the lowest common multiple of 259,338,994,991,998 is 3073611788338.
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.
259 x 338 x 994 x 991 x 998 = 86061130073464
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.
259 : 1, 7, 37, 259
338 : 1, 2, 13, 26, 169, 338
994 : 1, 2, 7, 14, 71, 142, 497, 994
991 : 1, 991
998 : 1, 2, 499, 998
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,338,994,991,998, is 1.
Now, the common factors can be found like this.
259:7x 37
338:2x 13x 13
994:2x 7x 71
991:991
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.
2x 2x 7 = 28
Therefore, the value for common factors is 28.
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 = 86061130073464/(1x28)
LCM = 86061130073464/28
LCM = 3073611788338
Thus, we can understand that the LCM of 259,338,994,991,998 is 3073611788338.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 259, 338, 994, 991, 998
1. What is the LCM of 259, 338, 994, 991, 998?
Answer: LCM of 259, 338, 994, 991, 998 is 3073611788338.
2. How to calculate the LCM of 259, 338, 994, 991, 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 259, 338, 994, 991, 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}.