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LCM of 561, 676, 401, 264, 299

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


Find the LCM of 561, 676, 401, 264, 299 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 561, 676, 401, 264, 299. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 561,676,401,264,299

Given numbers are 561,676,401,264,299

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 561,676,401,264,299 is 6995387256.

Find LCM of 561,676,401,264,299 with Prime Factorization


2 561, 676, 401, 264, 299
2 561, 338, 401, 132, 299
3 561, 169, 401, 66, 299
11 187, 169, 401, 22, 299
13 17, 169, 401, 2, 299
17, 13, 401, 2, 23

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 11 x 13 x 17 x 13 x 401 x 2 x 23 = 6995387256

Therefore, the lowest common multiple of 561,676,401,264,299 is 6995387256.

LCM Formula to Find Lowest Common Multiple of 561,676,401,264,299

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.

561 x 676 x 401 x 264 x 299 = 12004084531296

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.

561 : 1, 3, 11, 17, 33, 51, 187, 561

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

401 : 1, 401

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,676,401,264,299, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

676:2x 2x 13x 13

401:401

264:2x 2x 2x 3x 11

299:13x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 3x 11x 13 = 1716

Therefore, the value for common factors is 1716.

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 = 12004084531296/(1x1716)

LCM = 12004084531296/1716

LCM = 6995387256

Thus, we can understand that the LCM of 561,676,401,264,299 is 6995387256.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 561, 676, 401, 264, 299

1. What is the LCM of 561, 676, 401, 264, 299?

Answer: LCM of 561, 676, 401, 264, 299 is 6995387256.

2. How to calculate the LCM of 561, 676, 401, 264, 299?

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 561, 676, 401, 264, 299.

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}.