LCM of 513, 405, 505, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 405, 505, 380 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 513, 405, 505, 380. So, keep reading to learn more.
Given numbers are 513,405,505,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,405,505,380 is 3108780.
Find LCM of 513,405,505,380 with Prime Factorization
| 3 | 513, 405, 505, 380 |
| 3 | 171, 135, 505, 380 |
| 3 | 57, 45, 505, 380 |
| 5 | 19, 15, 505, 380 |
| 19 | 19, 3, 101, 76 |
| 1, 3, 101, 4 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 19 x 1 x 3 x 101 x 4 = 3108780
Therefore, the lowest common multiple of 513,405,505,380 is 3108780.
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.
513 x 405 x 505 x 380 = 39870103500
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
505 : 1, 5, 101, 505
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,405,505,380, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
405:3x 3x 3x 3x 5
505:5x 101
380:2x 2x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 5x 19 = 12825
Therefore, the value for common factors is 12825.
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 = 39870103500/(1x12825)
LCM = 39870103500/12825
LCM = 3108780
Thus, we can understand that the LCM of 513,405,505,380 is 3108780.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 513, 405, 505, 380
1. What is the LCM of 513, 405, 505, 380?
Answer: LCM of 513, 405, 505, 380 is 3108780.
2. How to calculate the LCM of 513, 405, 505, 380?
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 513, 405, 505, 380.
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}.