LCM of 197, 561, 181, 393, 181
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 197, 561, 181, 393, 181 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 197, 561, 181, 393, 181. So, keep reading to learn more.
Given numbers are 197,561,181,393,181
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 197,561,181,393,181 is 2620468587.
Find LCM of 197,561,181,393,181 with Prime Factorization
| 3 | 197, 561, 181, 393, 181 |
| 181 | 197, 187, 181, 131, 181 |
| 197, 187, 1, 131, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 181 x 197 x 187 x 1 x 131 x 1 = 2620468587
Therefore, the lowest common multiple of 197,561,181,393,181 is 2620468587.
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.
197 x 561 x 181 x 393 x 181 = 1422914442741
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.
197 : 1, 197
561 : 1, 3, 11, 17, 33, 51, 187, 561
181 : 1, 181
393 : 1, 3, 131, 393
181 : 1, 181
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,561,181,393,181, is 1.
Now, the common factors can be found like this.
197:197
561:3x 11x 17
181:181
393:3x 131
181:181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 181 = 543
Therefore, the value for common factors is 543.
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 = 1422914442741/(1x543)
LCM = 1422914442741/543
LCM = 2620468587
Thus, we can understand that the LCM of 197,561,181,393,181 is 2620468587.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 197, 561, 181, 393, 181
1. What is the LCM of 197, 561, 181, 393, 181?
Answer: LCM of 197, 561, 181, 393, 181 is 2620468587.
2. How to calculate the LCM of 197, 561, 181, 393, 181?
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 197, 561, 181, 393, 181.
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}.