LCM of 509, 686, 399, 418, 499
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 509, 686, 399, 418, 499 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 509, 686, 399, 418, 499. So, keep reading to learn more.
Given numbers are 509,686,399,418,499
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 509,686,399,418,499 is 109247116902.
Find LCM of 509,686,399,418,499 with Prime Factorization
| 2 | 509, 686, 399, 418, 499 |
| 7 | 509, 343, 399, 209, 499 |
| 19 | 509, 49, 57, 209, 499 |
| 509, 49, 3, 11, 499 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 509 x 49 x 3 x 11 x 499 = 109247116902
Therefore, the lowest common multiple of 509,686,399,418,499 is 109247116902.
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.
509 x 686 x 399 x 418 x 499 = 29059733095932
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.
509 : 1, 509
686 : 1, 2, 7, 14, 49, 98, 343, 686
399 : 1, 3, 7, 19, 21, 57, 133, 399
418 : 1, 2, 11, 19, 22, 38, 209, 418
499 : 1, 499
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,686,399,418,499, is 1.
Now, the common factors can be found like this.
509:509
686:2x 7x 7x 7
399:3x 7x 19
418:2x 11x 19
499:499
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 19 = 266
Therefore, the value for common factors is 266.
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 = 29059733095932/(1x266)
LCM = 29059733095932/266
LCM = 109247116902
Thus, we can understand that the LCM of 509,686,399,418,499 is 109247116902.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 509, 686, 399, 418, 499
1. What is the LCM of 509, 686, 399, 418, 499?
Answer: LCM of 509, 686, 399, 418, 499 is 109247116902.
2. How to calculate the LCM of 509, 686, 399, 418, 499?
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 509, 686, 399, 418, 499.
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}.