LCM of 760, 505, 866, 816, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 760, 505, 866, 816, 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 760, 505, 866, 816, 989. So, keep reading to learn more.
Given numbers are 760,505,866,816,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,505,866,816,989 is 3352890156240.
Find LCM of 760,505,866,816,989 with Prime Factorization
| 2 | 760, 505, 866, 816, 989 |
| 2 | 380, 505, 433, 408, 989 |
| 2 | 190, 505, 433, 204, 989 |
| 5 | 95, 505, 433, 102, 989 |
| 19, 101, 433, 102, 989 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 19 x 101 x 433 x 102 x 989 = 3352890156240
Therefore, the lowest common multiple of 760,505,866,816,989 is 3352890156240.
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.
760 x 505 x 866 x 816 x 989 = 268231212499200
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.
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
505 : 1, 5, 101, 505
866 : 1, 2, 433, 866
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,505,866,816,989, is 1.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
505:5x 101
866:2x 433
816:2x 2x 2x 2x 3x 17
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 2x 2x 5 = 80
Therefore, the value for common factors is 80.
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 = 268231212499200/(1x80)
LCM = 268231212499200/80
LCM = 3352890156240
Thus, we can understand that the LCM of 760,505,866,816,989 is 3352890156240.
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FAQs on LCM of 760, 505, 866, 816, 989
1. What is the LCM of 760, 505, 866, 816, 989?
Answer: LCM of 760, 505, 866, 816, 989 is 3352890156240.
2. How to calculate the LCM of 760, 505, 866, 816, 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 760, 505, 866, 816, 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}.