LCM of 130, 312, 713, 964, 388
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 130, 312, 713, 964, 388 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 130, 312, 713, 964, 388. So, keep reading to learn more.
Given numbers are 130,312,713,964,388
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 130,312,713,964,388 is 26001769560.
Find LCM of 130,312,713,964,388 with Prime Factorization
| 2 | 130, 312, 713, 964, 388 |
| 2 | 65, 156, 713, 482, 194 |
| 13 | 65, 78, 713, 241, 97 |
| 5, 6, 713, 241, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 5 x 6 x 713 x 241 x 97 = 26001769560
Therefore, the lowest common multiple of 130,312,713,964,388 is 26001769560.
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.
130 x 312 x 713 x 964 x 388 = 10816736136960
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.
130 : 1, 2, 5, 10, 13, 26, 65, 130
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
713 : 1, 23, 31, 713
964 : 1, 2, 4, 241, 482, 964
388 : 1, 2, 4, 97, 194, 388
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,312,713,964,388, is 1.
Now, the common factors can be found like this.
130:2x 5x 13
312:2x 2x 2x 3x 13
713:23x 31
964:2x 2x 241
388:2x 2x 97
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 2x 13 = 416
Therefore, the value for common factors is 416.
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 = 10816736136960/(1x416)
LCM = 10816736136960/416
LCM = 26001769560
Thus, we can understand that the LCM of 130,312,713,964,388 is 26001769560.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 130, 312, 713, 964, 388
1. What is the LCM of 130, 312, 713, 964, 388?
Answer: LCM of 130, 312, 713, 964, 388 is 26001769560.
2. How to calculate the LCM of 130, 312, 713, 964, 388?
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 130, 312, 713, 964, 388.
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}.