LCM of 107, 209, 589, 961
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 107, 209, 589, 961 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 107, 209, 589, 961. So, keep reading to learn more.
Given numbers are 107,209,589,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,209,589,961 is 21490843.
Find LCM of 107,209,589,961 with Prime Factorization
| 19 | 107, 209, 589, 961 |
| 31 | 107, 11, 31, 961 |
| 107, 11, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
19 x 31 x 107 x 11 x 1 x 31 = 21490843
Therefore, the lowest common multiple of 107,209,589,961 is 21490843.
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.
107 x 209 x 589 x 961 = 12658106527
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.
107 : 1, 107
209 : 1, 11, 19, 209
589 : 1, 19, 31, 589
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,209,589,961, is 1.
Now, the common factors can be found like this.
107:107
209:11x 19
589:19x 31
961:31x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 31 = 589
Therefore, the value for common factors is 589.
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 = 12658106527/(1x589)
LCM = 12658106527/589
LCM = 21490843
Thus, we can understand that the LCM of 107,209,589,961 is 21490843.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 107, 209, 589, 961
1. What is the LCM of 107, 209, 589, 961?
Answer: LCM of 107, 209, 589, 961 is 21490843.
2. How to calculate the LCM of 107, 209, 589, 961?
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 107, 209, 589, 961.
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}.