LCM of 985, 259, 450, 259
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 985, 259, 450, 259 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 985, 259, 450, 259. So, keep reading to learn more.
Given numbers are 985,259,450,259
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 985,259,450,259 is 22960350.
Find LCM of 985,259,450,259 with Prime Factorization
| 5 | 985, 259, 450, 259 |
| 7 | 197, 259, 90, 259 |
| 37 | 197, 37, 90, 37 |
| 197, 1, 90, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 37 x 197 x 1 x 90 x 1 = 22960350
Therefore, the lowest common multiple of 985,259,450,259 is 22960350.
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.
985 x 259 x 450 x 259 = 29733653250
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.
985 : 1, 5, 197, 985
259 : 1, 7, 37, 259
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
259 : 1, 7, 37, 259
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,259,450,259, is 1.
Now, the common factors can be found like this.
985:5x 197
259:7x 37
450:2x 3x 3x 5x 5
259:7x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 37 = 1295
Therefore, the value for common factors is 1295.
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 = 29733653250/(1x1295)
LCM = 29733653250/1295
LCM = 22960350
Thus, we can understand that the LCM of 985,259,450,259 is 22960350.
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FAQs on LCM of 985, 259, 450, 259
1. What is the LCM of 985, 259, 450, 259?
Answer: LCM of 985, 259, 450, 259 is 22960350.
2. How to calculate the LCM of 985, 259, 450, 259?
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 985, 259, 450, 259.
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}.