LCM of 181, 241, 266, 905, 798
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 181, 241, 266, 905, 798 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 181, 241, 266, 905, 798. So, keep reading to learn more.
Given numbers are 181,241,266,905,798
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 181,241,266,905,798 is 174047790.
Find LCM of 181,241,266,905,798 with Prime Factorization
| 2 | 181, 241, 266, 905, 798 |
| 7 | 181, 241, 133, 905, 399 |
| 19 | 181, 241, 19, 905, 57 |
| 181 | 181, 241, 1, 905, 3 |
| 1, 241, 1, 5, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 181 x 1 x 241 x 1 x 5 x 3 = 174047790
Therefore, the lowest common multiple of 181,241,266,905,798 is 174047790.
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.
181 x 241 x 266 x 905 x 798 = 8379704897340
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.
181 : 1, 181
241 : 1, 241
266 : 1, 2, 7, 14, 19, 38, 133, 266
905 : 1, 5, 181, 905
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 181,241,266,905,798, is 1.
Now, the common factors can be found like this.
181:181
241:241
266:2x 7x 19
905:5x 181
798:2x 3x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 19x 181 = 48146
Therefore, the value for common factors is 48146.
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 = 8379704897340/(1x48146)
LCM = 8379704897340/48146
LCM = 174047790
Thus, we can understand that the LCM of 181,241,266,905,798 is 174047790.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 181, 241, 266, 905, 798
1. What is the LCM of 181, 241, 266, 905, 798?
Answer: LCM of 181, 241, 266, 905, 798 is 174047790.
2. How to calculate the LCM of 181, 241, 266, 905, 798?
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 181, 241, 266, 905, 798.
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}.