LCM of 589, 608, 976, 388
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 608, 976, 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 589, 608, 976, 388. So, keep reading to learn more.
Given numbers are 589,608,976,388
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,608,976,388 is 111523616.
Find LCM of 589,608,976,388 with Prime Factorization
| 2 | 589, 608, 976, 388 |
| 2 | 589, 304, 488, 194 |
| 2 | 589, 152, 244, 97 |
| 2 | 589, 76, 122, 97 |
| 19 | 589, 38, 61, 97 |
| 31, 2, 61, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 19 x 31 x 2 x 61 x 97 = 111523616
Therefore, the lowest common multiple of 589,608,976,388 is 111523616.
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.
589 x 608 x 976 x 388 = 135612717056
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.
589 : 1, 19, 31, 589
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
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 589,608,976,388, is 1.
Now, the common factors can be found like this.
589:19x 31
608:2x 2x 2x 2x 2x 19
976:2x 2x 2x 2x 61
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 2x 19 = 1216
Therefore, the value for common factors is 1216.
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 = 135612717056/(1x1216)
LCM = 135612717056/1216
LCM = 111523616
Thus, we can understand that the LCM of 589,608,976,388 is 111523616.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 589, 608, 976, 388
1. What is the LCM of 589, 608, 976, 388?
Answer: LCM of 589, 608, 976, 388 is 111523616.
2. How to calculate the LCM of 589, 608, 976, 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 589, 608, 976, 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}.