Find the LCM of 479, 509, 698, 509 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 479, 509, 698, 509. So, keep reading to learn more.
Given numbers are 479,509,698,509
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 479,509,698,509 is 170180078.
Find LCM of 479,509,698,509 with Prime Factorization
509 | 479, 509, 698, 509 |
479, 1, 698, 1 |
Multiply the prime numbers at the bottom and the left side.
509 x 479 x 1 x 698 x 1 = 170180078
Therefore, the lowest common multiple of 479,509,698,509 is 170180078.
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.
479 x 509 x 698 x 509 = 86621659702
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.
479 : 1, 479
509 : 1, 509
698 : 1, 2, 349, 698
509 : 1, 509
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,509,698,509, is 1.
Now, the common factors can be found like this.
479:479
509:509
698:2x 349
509:509
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
509 = 509
Therefore, the value for common factors is 509.
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 = 86621659702/(1x509)
LCM = 86621659702/509
LCM = 170180078
Thus, we can understand that the LCM of 479,509,698,509 is 170180078.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 479, 509, 698, 509?
Answer: LCM of 479, 509, 698, 509 is 170180078.
2. How to calculate the LCM of 479, 509, 698, 509?
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 479, 509, 698, 509.
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}.