Find the LCM of 509, 561, 192, 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, 561, 192, 499. So, keep reading to learn more.
Given numbers are 509,561,192,499
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 509,561,192,499 is 9119292864.
Find LCM of 509,561,192,499 with Prime Factorization
3 | 509, 561, 192, 499 |
509, 187, 64, 499 |
Multiply the prime numbers at the bottom and the left side.
3 x 509 x 187 x 64 x 499 = 9119292864
Therefore, the lowest common multiple of 509,561,192,499 is 9119292864.
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 561 x 192 x 499 = 27357878592
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
561 : 1, 3, 11, 17, 33, 51, 187, 561
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
499 : 1, 499
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,561,192,499, is 1.
Now, the common factors can be found like this.
509:509
561:3x 11x 17
192:2x 2x 2x 2x 2x 2x 3
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.
3 = 3
Therefore, the value for common factors is 3.
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 = 27357878592/(1x3)
LCM = 27357878592/3
LCM = 9119292864
Thus, we can understand that the LCM of 509,561,192,499 is 9119292864.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 509, 561, 192, 499?
Answer: LCM of 509, 561, 192, 499 is 9119292864.
2. How to calculate the LCM of 509, 561, 192, 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, 561, 192, 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}.