LCM of 330, 944, 859, 909, 961
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 944, 859, 909, 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 330, 944, 859, 909, 961. So, keep reading to learn more.
Given numbers are 330,944,859,909,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,944,859,909,961 is 38959656444720.
Find LCM of 330,944,859,909,961 with Prime Factorization
| 2 | 330, 944, 859, 909, 961 |
| 3 | 165, 472, 859, 909, 961 |
| 55, 472, 859, 303, 961 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 55 x 472 x 859 x 303 x 961 = 38959656444720
Therefore, the lowest common multiple of 330,944,859,909,961 is 38959656444720.
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.
330 x 944 x 859 x 909 x 961 = 233757938668320
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.
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
859 : 1, 859
909 : 1, 3, 9, 101, 303, 909
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,944,859,909,961, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
944:2x 2x 2x 2x 59
859:859
909:3x 3x 101
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.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 233757938668320/(1x6)
LCM = 233757938668320/6
LCM = 38959656444720
Thus, we can understand that the LCM of 330,944,859,909,961 is 38959656444720.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 330, 944, 859, 909, 961
1. What is the LCM of 330, 944, 859, 909, 961?
Answer: LCM of 330, 944, 859, 909, 961 is 38959656444720.
2. How to calculate the LCM of 330, 944, 859, 909, 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 330, 944, 859, 909, 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}.