LCM of 940, 260, 306, 321, 130
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 940, 260, 306, 321, 130 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 940, 260, 306, 321, 130. So, keep reading to learn more.
Given numbers are 940,260,306,321,130
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 940,260,306,321,130 is 200053620.
Find LCM of 940,260,306,321,130 with Prime Factorization
| 2 | 940, 260, 306, 321, 130 |
| 2 | 470, 130, 153, 321, 65 |
| 3 | 235, 65, 153, 321, 65 |
| 5 | 235, 65, 51, 107, 65 |
| 13 | 47, 13, 51, 107, 13 |
| 47, 1, 51, 107, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 47 x 1 x 51 x 107 x 1 = 200053620
Therefore, the lowest common multiple of 940,260,306,321,130 is 200053620.
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.
940 x 260 x 306 x 321 x 130 = 3120836472000
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.
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
321 : 1, 3, 107, 321
130 : 1, 2, 5, 10, 13, 26, 65, 130
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,260,306,321,130, is 1.
Now, the common factors can be found like this.
940:2x 2x 5x 47
260:2x 2x 5x 13
306:2x 3x 3x 17
321:3x 107
130:2x 5x 13
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 3x 5x 5x 13 = 15600
Therefore, the value for common factors is 15600.
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 = 3120836472000/(1x15600)
LCM = 3120836472000/15600
LCM = 200053620
Thus, we can understand that the LCM of 940,260,306,321,130 is 200053620.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 940, 260, 306, 321, 130
1. What is the LCM of 940, 260, 306, 321, 130?
Answer: LCM of 940, 260, 306, 321, 130 is 200053620.
2. How to calculate the LCM of 940, 260, 306, 321, 130?
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 940, 260, 306, 321, 130.
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}.