LCM of 989, 595, 200, 260, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 595, 200, 260, 989 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, 595, 200, 260, 989. So, keep reading to learn more.
Given numbers are 989,595,200,260,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,595,200,260,989 is 305996600.
Find LCM of 989,595,200,260,989 with Prime Factorization
| 2 | 989, 595, 200, 260, 989 |
| 2 | 989, 595, 100, 130, 989 |
| 5 | 989, 595, 50, 65, 989 |
| 23 | 989, 119, 10, 13, 989 |
| 43 | 43, 119, 10, 13, 43 |
| 1, 119, 10, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 23 x 43 x 1 x 119 x 10 x 13 x 1 = 305996600
Therefore, the lowest common multiple of 989,595,200,260,989 is 305996600.
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 595 x 200 x 260 x 989 = 30263063740000
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
595 : 1, 5, 7, 17, 35, 85, 119, 595
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,595,200,260,989, is 1.
Now, the common factors can be found like this.
989:23x 43
595:5x 7x 17
200:2x 2x 2x 5x 5
260:2x 2x 5x 13
989:23x 43
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 5x 5x 23x 43 = 98900
Therefore, the value for common factors is 98900.
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 = 30263063740000/(1x98900)
LCM = 30263063740000/98900
LCM = 305996600
Thus, we can understand that the LCM of 989,595,200,260,989 is 305996600.
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FAQs on LCM of 989, 595, 200, 260, 989
1. What is the LCM of 989, 595, 200, 260, 989?
Answer: LCM of 989, 595, 200, 260, 989 is 305996600.
2. How to calculate the LCM of 989, 595, 200, 260, 989?
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, 595, 200, 260, 989.
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}.