LCM of 169, 401, 939, 221, 961
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 401, 939, 221, 961 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 169, 401, 939, 221, 961. So, keep reading to learn more.
Given numbers are 169,401,939,221,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,401,939,221,961 is 1039606481667.
Find LCM of 169,401,939,221,961 with Prime Factorization
| 13 | 169, 401, 939, 221, 961 |
| 13, 401, 939, 17, 961 |
Multiply the prime numbers at the bottom and the left side.
13 x 13 x 401 x 939 x 17 x 961 = 1039606481667
Therefore, the lowest common multiple of 169,401,939,221,961 is 1039606481667.
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.
169 x 401 x 939 x 221 x 961 = 13514884261671
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.
169 : 1, 13, 169
401 : 1, 401
939 : 1, 3, 313, 939
221 : 1, 13, 17, 221
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,401,939,221,961, is 1.
Now, the common factors can be found like this.
169:13x 13
401:401
939:3x 313
221:13x 17
961:31x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 13514884261671/(1x13)
LCM = 13514884261671/13
LCM = 1039606481667
Thus, we can understand that the LCM of 169,401,939,221,961 is 1039606481667.
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FAQs on LCM of 169, 401, 939, 221, 961
1. What is the LCM of 169, 401, 939, 221, 961?
Answer: LCM of 169, 401, 939, 221, 961 is 1039606481667.
2. How to calculate the LCM of 169, 401, 939, 221, 961?
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 169, 401, 939, 221, 961.
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}.