Find the LCM of 247, 121, 517, 514 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 247, 121, 517, 514. So, keep reading to learn more.
Given numbers are 247,121,517,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,121,517,514 is 722010146.
Find LCM of 247,121,517,514 with Prime Factorization
11 | 247, 121, 517, 514 |
247, 11, 47, 514 |
Multiply the prime numbers at the bottom and the left side.
11 x 247 x 11 x 47 x 514 = 722010146
Therefore, the lowest common multiple of 247,121,517,514 is 722010146.
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.
247 x 121 x 517 x 514 = 7942111606
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.
247 : 1, 13, 19, 247
121 : 1, 11, 121
517 : 1, 11, 47, 517
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,121,517,514, is 1.
Now, the common factors can be found like this.
247:13x 19
121:11x 11
517:11x 47
514:2x 257
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 = 7942111606/(1x11)
LCM = 7942111606/11
LCM = 722010146
Thus, we can understand that the LCM of 247,121,517,514 is 722010146.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 247, 121, 517, 514?
Answer: LCM of 247, 121, 517, 514 is 722010146.
2. How to calculate the LCM of 247, 121, 517, 514?
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 247, 121, 517, 514.
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}.