Find the LCM of 289, 209, 401, 401, 454 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 289, 209, 401, 401, 454. So, keep reading to learn more.
Given numbers are 289,209,401,401,454
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,209,401,401,454 is 10996243654.
Find LCM of 289,209,401,401,454 with Prime Factorization
401 | 289, 209, 401, 401, 454 |
289, 209, 1, 1, 454 |
Multiply the prime numbers at the bottom and the left side.
401 x 289 x 209 x 1 x 1 x 454 = 10996243654
Therefore, the lowest common multiple of 289,209,401,401,454 is 10996243654.
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.
289 x 209 x 401 x 401 x 454 = 4409493705254
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.
289 : 1, 17, 289
209 : 1, 11, 19, 209
401 : 1, 401
401 : 1, 401
454 : 1, 2, 227, 454
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,209,401,401,454, is 1.
Now, the common factors can be found like this.
289:17x 17
209:11x 19
401:401
401:401
454:2x 227
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
401 = 401
Therefore, the value for common factors is 401.
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 = 4409493705254/(1x401)
LCM = 4409493705254/401
LCM = 10996243654
Thus, we can understand that the LCM of 289,209,401,401,454 is 10996243654.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 289, 209, 401, 401, 454?
Answer: LCM of 289, 209, 401, 401, 454 is 10996243654.
2. How to calculate the LCM of 289, 209, 401, 401, 454?
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 289, 209, 401, 401, 454.
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}.