LCM of 561, 647, 682, 118
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 647, 682, 118 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, 647, 682, 118. So, keep reading to learn more.
Given numbers are 561,647,682,118
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,647,682,118 is 1327733286.
Find LCM of 561,647,682,118 with Prime Factorization
| 2 | 561, 647, 682, 118 |
| 11 | 561, 647, 341, 59 |
| 51, 647, 31, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 51 x 647 x 31 x 59 = 1327733286
Therefore, the lowest common multiple of 561,647,682,118 is 1327733286.
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 647 x 682 x 118 = 29210132292
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
647 : 1, 647
682 : 1, 2, 11, 22, 31, 62, 341, 682
118 : 1, 2, 59, 118
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,647,682,118, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
647:647
682:2x 11x 31
118:2x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 29210132292/(1x22)
LCM = 29210132292/22
LCM = 1327733286
Thus, we can understand that the LCM of 561,647,682,118 is 1327733286.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 561, 647, 682, 118
1. What is the LCM of 561, 647, 682, 118?
Answer: LCM of 561, 647, 682, 118 is 1327733286.
2. How to calculate the LCM of 561, 647, 682, 118?
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, 647, 682, 118.
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}.