LCM of 106, 544, 121, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 106, 544, 121, 561 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 106, 544, 121, 561. So, keep reading to learn more.
Given numbers are 106,544,121,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 106,544,121,561 is 10466016.
Find LCM of 106,544,121,561 with Prime Factorization
| 2 | 106, 544, 121, 561 |
| 11 | 53, 272, 121, 561 |
| 17 | 53, 272, 11, 51 |
| 53, 16, 11, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 53 x 16 x 11 x 3 = 10466016
Therefore, the lowest common multiple of 106,544,121,561 is 10466016.
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.
106 x 544 x 121 x 561 = 3914289984
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.
106 : 1, 2, 53, 106
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
121 : 1, 11, 121
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,544,121,561, is 1.
Now, the common factors can be found like this.
106:2x 53
544:2x 2x 2x 2x 2x 17
121:11x 11
561:3x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 17 = 374
Therefore, the value for common factors is 374.
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 = 3914289984/(1x374)
LCM = 3914289984/374
LCM = 10466016
Thus, we can understand that the LCM of 106,544,121,561 is 10466016.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 106, 544, 121, 561
1. What is the LCM of 106, 544, 121, 561?
Answer: LCM of 106, 544, 121, 561 is 10466016.
2. How to calculate the LCM of 106, 544, 121, 561?
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 106, 544, 121, 561.
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}.