LCM of 205, 468, 588, 686, 569
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 205, 468, 588, 686, 569 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 205, 468, 588, 686, 569. So, keep reading to learn more.
Given numbers are 205,468,588,686,569
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 205,468,588,686,569 is 18724321980.
Find LCM of 205,468,588,686,569 with Prime Factorization
| 2 | 205, 468, 588, 686, 569 |
| 2 | 205, 234, 294, 343, 569 |
| 3 | 205, 117, 147, 343, 569 |
| 7 | 205, 39, 49, 343, 569 |
| 7 | 205, 39, 7, 49, 569 |
| 205, 39, 1, 7, 569 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 7 x 205 x 39 x 1 x 7 x 569 = 18724321980
Therefore, the lowest common multiple of 205,468,588,686,569 is 18724321980.
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.
205 x 468 x 588 x 686 x 569 = 22019802648480
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.
205 : 1, 5, 41, 205
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
686 : 1, 2, 7, 14, 49, 98, 343, 686
569 : 1, 569
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,468,588,686,569, is 1.
Now, the common factors can be found like this.
205:5x 41
468:2x 2x 3x 3x 13
588:2x 2x 3x 7x 7
686:2x 7x 7x 7
569:569
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 3x 7x 7 = 1176
Therefore, the value for common factors is 1176.
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 = 22019802648480/(1x1176)
LCM = 22019802648480/1176
LCM = 18724321980
Thus, we can understand that the LCM of 205,468,588,686,569 is 18724321980.
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FAQs on LCM of 205, 468, 588, 686, 569
1. What is the LCM of 205, 468, 588, 686, 569?
Answer: LCM of 205, 468, 588, 686, 569 is 18724321980.
2. How to calculate the LCM of 205, 468, 588, 686, 569?
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 205, 468, 588, 686, 569.
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}.