Find the LCM of 657, 547, 759, 867, 979 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 657, 547, 759, 867, 979. So, keep reading to learn more.
Given numbers are 657,547,759,867,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 657,547,759,867,979 is 2338627576527.
Find LCM of 657,547,759,867,979 with Prime Factorization
3 | 657, 547, 759, 867, 979 |
11 | 219, 547, 253, 289, 979 |
219, 547, 23, 289, 89 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 219 x 547 x 23 x 289 x 89 = 2338627576527
Therefore, the lowest common multiple of 657,547,759,867,979 is 2338627576527.
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.
657 x 547 x 759 x 867 x 979 = 231524130076173
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.
657 : 1, 3, 9, 73, 219, 657
547 : 1, 547
759 : 1, 3, 11, 23, 33, 69, 253, 759
867 : 1, 3, 17, 51, 289, 867
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,547,759,867,979, is 1.
Now, the common factors can be found like this.
657:3x 3x 73
547:547
759:3x 11x 23
867:3x 17x 17
979:11x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11 = 99
Therefore, the value for common factors is 99.
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 = 231524130076173/(1x99)
LCM = 231524130076173/99
LCM = 2338627576527
Thus, we can understand that the LCM of 657,547,759,867,979 is 2338627576527.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 657, 547, 759, 867, 979?
Answer: LCM of 657, 547, 759, 867, 979 is 2338627576527.
2. How to calculate the LCM of 657, 547, 759, 867, 979?
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 657, 547, 759, 867, 979.
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}.