Find the LCM of 561, 179, 649, 716 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 561, 179, 649, 716. So, keep reading to learn more.
Given numbers are 561,179,649,716
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,179,649,716 is 23698884.
Find LCM of 561,179,649,716 with Prime Factorization
11 | 561, 179, 649, 716 |
179 | 51, 179, 59, 716 |
51, 1, 59, 4 |
Multiply the prime numbers at the bottom and the left side.
11 x 179 x 51 x 1 x 59 x 4 = 23698884
Therefore, the lowest common multiple of 561,179,649,716 is 23698884.
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.
561 x 179 x 649 x 716 = 46663102596
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
179 : 1, 179
649 : 1, 11, 59, 649
716 : 1, 2, 4, 179, 358, 716
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,179,649,716, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
179:179
649:11x 59
716:2x 2x 179
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 179 = 1969
Therefore, the value for common factors is 1969.
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 = 46663102596/(1x1969)
LCM = 46663102596/1969
LCM = 23698884
Thus, we can understand that the LCM of 561,179,649,716 is 23698884.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 561, 179, 649, 716?
Answer: LCM of 561, 179, 649, 716 is 23698884.
2. How to calculate the LCM of 561, 179, 649, 716?
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 561, 179, 649, 716.
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}.