LCM of 519, 374, 494, 493, 675
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 519, 374, 494, 493, 675 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 519, 374, 494, 493, 675. So, keep reading to learn more.
Given numbers are 519,374,494,493,675
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 519,374,494,493,675 is 312835787550.
Find LCM of 519,374,494,493,675 with Prime Factorization
| 2 | 519, 374, 494, 493, 675 |
| 3 | 519, 187, 247, 493, 675 |
| 17 | 173, 187, 247, 493, 225 |
| 173, 11, 247, 29, 225 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 173 x 11 x 247 x 29 x 225 = 312835787550
Therefore, the lowest common multiple of 519,374,494,493,675 is 312835787550.
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.
519 x 374 x 494 x 493 x 675 = 31909250330100
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.
519 : 1, 3, 173, 519
374 : 1, 2, 11, 17, 22, 34, 187, 374
494 : 1, 2, 13, 19, 26, 38, 247, 494
493 : 1, 17, 29, 493
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,374,494,493,675, is 1.
Now, the common factors can be found like this.
519:3x 173
374:2x 11x 17
494:2x 13x 19
493:17x 29
675:3x 3x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 31909250330100/(1x102)
LCM = 31909250330100/102
LCM = 312835787550
Thus, we can understand that the LCM of 519,374,494,493,675 is 312835787550.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 519, 374, 494, 493, 675
1. What is the LCM of 519, 374, 494, 493, 675?
Answer: LCM of 519, 374, 494, 493, 675 is 312835787550.
2. How to calculate the LCM of 519, 374, 494, 493, 675?
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 519, 374, 494, 493, 675.
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}.