LCM of 589, 418, 688, 969, 872
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 418, 688, 969, 872 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, 418, 688, 969, 872. So, keep reading to learn more.
Given numbers are 589,418,688,969,872
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,418,688,969,872 is 24779531568.
Find LCM of 589,418,688,969,872 with Prime Factorization
| 2 | 589, 418, 688, 969, 872 |
| 2 | 589, 209, 344, 969, 436 |
| 2 | 589, 209, 172, 969, 218 |
| 19 | 589, 209, 86, 969, 109 |
| 31, 11, 86, 51, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 31 x 11 x 86 x 51 x 109 = 24779531568
Therefore, the lowest common multiple of 589,418,688,969,872 is 24779531568.
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 418 x 688 x 969 x 872 = 143126574336768
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
418 : 1, 2, 11, 19, 22, 38, 209, 418
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
969 : 1, 3, 17, 19, 51, 57, 323, 969
872 : 1, 2, 4, 8, 109, 218, 436, 872
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,418,688,969,872, is 1.
Now, the common factors can be found like this.
589:19x 31
418:2x 11x 19
688:2x 2x 2x 2x 43
969:3x 17x 19
872:2x 2x 2x 109
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 19x 19 = 5776
Therefore, the value for common factors is 5776.
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 = 143126574336768/(1x5776)
LCM = 143126574336768/5776
LCM = 24779531568
Thus, we can understand that the LCM of 589,418,688,969,872 is 24779531568.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 589, 418, 688, 969, 872
1. What is the LCM of 589, 418, 688, 969, 872?
Answer: LCM of 589, 418, 688, 969, 872 is 24779531568.
2. How to calculate the LCM of 589, 418, 688, 969, 872?
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, 418, 688, 969, 872.
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}.