LCM of 989, 721, 855, 304, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 721, 855, 304, 616 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, 721, 855, 304, 616. So, keep reading to learn more.
Given numbers are 989,721,855,304,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,721,855,304,616 is 107302623120.
Find LCM of 989,721,855,304,616 with Prime Factorization
| 2 | 989, 721, 855, 304, 616 |
| 2 | 989, 721, 855, 152, 308 |
| 2 | 989, 721, 855, 76, 154 |
| 7 | 989, 721, 855, 38, 77 |
| 19 | 989, 103, 855, 38, 11 |
| 989, 103, 45, 2, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 19 x 989 x 103 x 45 x 2 x 11 = 107302623120
Therefore, the lowest common multiple of 989,721,855,304,616 is 107302623120.
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 721 x 855 x 304 x 616 = 114169990999680
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
721 : 1, 7, 103, 721
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,721,855,304,616, is 1.
Now, the common factors can be found like this.
989:23x 43
721:7x 103
855:3x 3x 5x 19
304:2x 2x 2x 2x 19
616:2x 2x 2x 7x 11
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 7x 19 = 1064
Therefore, the value for common factors is 1064.
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 = 114169990999680/(1x1064)
LCM = 114169990999680/1064
LCM = 107302623120
Thus, we can understand that the LCM of 989,721,855,304,616 is 107302623120.
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FAQs on LCM of 989, 721, 855, 304, 616
1. What is the LCM of 989, 721, 855, 304, 616?
Answer: LCM of 989, 721, 855, 304, 616 is 107302623120.
2. How to calculate the LCM of 989, 721, 855, 304, 616?
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, 721, 855, 304, 616.
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}.