LCM of 589, 988, 104, 446
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 988, 104, 446 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, 988, 104, 446. So, keep reading to learn more.
Given numbers are 589,988,104,446
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,988,104,446 is 13660088.
Find LCM of 589,988,104,446 with Prime Factorization
| 2 | 589, 988, 104, 446 |
| 2 | 589, 494, 52, 223 |
| 13 | 589, 247, 26, 223 |
| 19 | 589, 19, 2, 223 |
| 31, 1, 2, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 19 x 31 x 1 x 2 x 223 = 13660088
Therefore, the lowest common multiple of 589,988,104,446 is 13660088.
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 988 x 104 x 446 = 26992333888
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
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
104 : 1, 2, 4, 8, 13, 26, 52, 104
446 : 1, 2, 223, 446
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,988,104,446, is 1.
Now, the common factors can be found like this.
589:19x 31
988:2x 2x 13x 19
104:2x 2x 2x 13
446:2x 223
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 13x 19 = 1976
Therefore, the value for common factors is 1976.
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 = 26992333888/(1x1976)
LCM = 26992333888/1976
LCM = 13660088
Thus, we can understand that the LCM of 589,988,104,446 is 13660088.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 589, 988, 104, 446
1. What is the LCM of 589, 988, 104, 446?
Answer: LCM of 589, 988, 104, 446 is 13660088.
2. How to calculate the LCM of 589, 988, 104, 446?
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, 988, 104, 446.
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}.