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LCM of 289, 209, 401, 401, 454

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


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.

 

LCM of:

Calculate the LCM of 289,209,401,401,454

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 to Find Lowest Common Multiple of 289,209,401,401,454

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.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 289, 209, 401, 401, 454

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}.