Find the LCM of 511, 209, 319, 313 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 511, 209, 319, 313. So, keep reading to learn more.
Given numbers are 511,209,319,313
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 511,209,319,313 is 969414523.
Find LCM of 511,209,319,313 with Prime Factorization
11 | 511, 209, 319, 313 |
511, 19, 29, 313 |
Multiply the prime numbers at the bottom and the left side.
11 x 511 x 19 x 29 x 313 = 969414523
Therefore, the lowest common multiple of 511,209,319,313 is 969414523.
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.
511 x 209 x 319 x 313 = 10663559753
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.
511 : 1, 7, 73, 511
209 : 1, 11, 19, 209
319 : 1, 11, 29, 319
313 : 1, 313
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,209,319,313, is 1.
Now, the common factors can be found like this.
511:7x 73
209:11x 19
319:11x 29
313:313
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 10663559753/(1x11)
LCM = 10663559753/11
LCM = 969414523
Thus, we can understand that the LCM of 511,209,319,313 is 969414523.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 511, 209, 319, 313?
Answer: LCM of 511, 209, 319, 313 is 969414523.
2. How to calculate the LCM of 511, 209, 319, 313?
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 511, 209, 319, 313.
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}.