LCM of 260, 204, 380, 418, 559
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 260, 204, 380, 418, 559 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 260, 204, 380, 418, 559. So, keep reading to learn more.
Given numbers are 260,204,380,418,559
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 260,204,380,418,559 is 119167620.
Find LCM of 260,204,380,418,559 with Prime Factorization
| 2 | 260, 204, 380, 418, 559 |
| 2 | 130, 102, 190, 209, 559 |
| 5 | 65, 51, 95, 209, 559 |
| 13 | 13, 51, 19, 209, 559 |
| 19 | 1, 51, 19, 209, 43 |
| 1, 51, 1, 11, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 19 x 1 x 51 x 1 x 11 x 43 = 119167620
Therefore, the lowest common multiple of 260,204,380,418,559 is 119167620.
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.
260 x 204 x 380 x 418 x 559 = 4709504342400
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.
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
418 : 1, 2, 11, 19, 22, 38, 209, 418
559 : 1, 13, 43, 559
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,204,380,418,559, is 1.
Now, the common factors can be found like this.
260:2x 2x 5x 13
204:2x 2x 3x 17
380:2x 2x 5x 19
418:2x 11x 19
559:13x 43
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 5x 13x 19 = 39520
Therefore, the value for common factors is 39520.
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 = 4709504342400/(1x39520)
LCM = 4709504342400/39520
LCM = 119167620
Thus, we can understand that the LCM of 260,204,380,418,559 is 119167620.
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FAQs on LCM of 260, 204, 380, 418, 559
1. What is the LCM of 260, 204, 380, 418, 559?
Answer: LCM of 260, 204, 380, 418, 559 is 119167620.
2. How to calculate the LCM of 260, 204, 380, 418, 559?
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 260, 204, 380, 418, 559.
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}.