LCM of 513, 519, 351, 422, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 519, 351, 422, 990 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, 519, 351, 422, 990. So, keep reading to learn more.
Given numbers are 513,519,351,422,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,519,351,422,990 is 26778235770.
Find LCM of 513,519,351,422,990 with Prime Factorization
| 2 | 513, 519, 351, 422, 990 |
| 3 | 513, 519, 351, 211, 495 |
| 3 | 171, 173, 117, 211, 165 |
| 3 | 57, 173, 39, 211, 55 |
| 19, 173, 13, 211, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 19 x 173 x 13 x 211 x 55 = 26778235770
Therefore, the lowest common multiple of 513,519,351,422,990 is 26778235770.
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 519 x 351 x 422 x 990 = 39042667752660
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
519 : 1, 3, 173, 519
351 : 1, 3, 9, 13, 27, 39, 117, 351
422 : 1, 2, 211, 422
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,519,351,422,990, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
519:3x 173
351:3x 3x 3x 13
422:2x 211
990:2x 3x 3x 5x 11
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 3x 3x 3x 3x 3 = 1458
Therefore, the value for common factors is 1458.
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 = 39042667752660/(1x1458)
LCM = 39042667752660/1458
LCM = 26778235770
Thus, we can understand that the LCM of 513,519,351,422,990 is 26778235770.
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FAQs on LCM of 513, 519, 351, 422, 990
1. What is the LCM of 513, 519, 351, 422, 990?
Answer: LCM of 513, 519, 351, 422, 990 is 26778235770.
2. How to calculate the LCM of 513, 519, 351, 422, 990?
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, 519, 351, 422, 990.
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}.