Find the LCM of 989, 998, 297, 449, 514 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, 998, 297, 449, 514. So, keep reading to learn more.
Given numbers are 989,998,297,449,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,998,297,449,514 is 33826942604862.
Find LCM of 989,998,297,449,514 with Prime Factorization
2 | 989, 998, 297, 449, 514 |
989, 499, 297, 449, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 989 x 499 x 297 x 449 x 257 = 33826942604862
Therefore, the lowest common multiple of 989,998,297,449,514 is 33826942604862.
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 998 x 297 x 449 x 514 = 67653885209724
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
998 : 1, 2, 499, 998
297 : 1, 3, 9, 11, 27, 33, 99, 297
449 : 1, 449
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,998,297,449,514, is 1.
Now, the common factors can be found like this.
989:23x 43
998:2x 499
297:3x 3x 3x 11
449:449
514:2x 257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 67653885209724/(1x2)
LCM = 67653885209724/2
LCM = 33826942604862
Thus, we can understand that the LCM of 989,998,297,449,514 is 33826942604862.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 989, 998, 297, 449, 514?
Answer: LCM of 989, 998, 297, 449, 514 is 33826942604862.
2. How to calculate the LCM of 989, 998, 297, 449, 514?
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, 998, 297, 449, 514.
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}.