LCM of 110, 704, 589, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 110, 704, 589, 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 110, 704, 589, 989. So, keep reading to learn more.
Given numbers are 110,704,589,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 110,704,589,989 is 2050473920.
Find LCM of 110,704,589,989 with Prime Factorization
| 2 | 110, 704, 589, 989 |
| 11 | 55, 352, 589, 989 |
| 5, 32, 589, 989 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 5 x 32 x 589 x 989 = 2050473920
Therefore, the lowest common multiple of 110,704,589,989 is 2050473920.
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.
110 x 704 x 589 x 989 = 45110426240
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.
110 : 1, 2, 5, 10, 11, 22, 55, 110
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
589 : 1, 19, 31, 589
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,704,589,989, is 1.
Now, the common factors can be found like this.
110:2x 5x 11
704:2x 2x 2x 2x 2x 2x 11
589:19x 31
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 11 = 22
Therefore, the value for common factors is 22.
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 = 45110426240/(1x22)
LCM = 45110426240/22
LCM = 2050473920
Thus, we can understand that the LCM of 110,704,589,989 is 2050473920.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 110, 704, 589, 989
1. What is the LCM of 110, 704, 589, 989?
Answer: LCM of 110, 704, 589, 989 is 2050473920.
2. How to calculate the LCM of 110, 704, 589, 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 110, 704, 589, 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}.