LCM of 561, 242, 341, 141
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 242, 341, 141 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, 242, 341, 141. So, keep reading to learn more.
Given numbers are 561,242,341,141
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,242,341,141 is 17982294.
Find LCM of 561,242,341,141 with Prime Factorization
| 3 | 561, 242, 341, 141 |
| 11 | 187, 242, 341, 47 |
| 17, 22, 31, 47 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 17 x 22 x 31 x 47 = 17982294
Therefore, the lowest common multiple of 561,242,341,141 is 17982294.
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 242 x 341 x 141 = 6527572722
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
242 : 1, 2, 11, 22, 121, 242
341 : 1, 11, 31, 341
141 : 1, 3, 47, 141
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,242,341,141, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
242:2x 11x 11
341:11x 31
141:3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 11 = 363
Therefore, the value for common factors is 363.
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 = 6527572722/(1x363)
LCM = 6527572722/363
LCM = 17982294
Thus, we can understand that the LCM of 561,242,341,141 is 17982294.
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, 242, 341, 141
1. What is the LCM of 561, 242, 341, 141?
Answer: LCM of 561, 242, 341, 141 is 17982294.
2. How to calculate the LCM of 561, 242, 341, 141?
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, 242, 341, 141.
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}.