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LCM of 299, 585, 771, 409

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


Find the LCM of 299, 585, 771, 409 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 299, 585, 771, 409. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 299,585,771,409

Given numbers are 299,585,771,409

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

The LCM of 299,585,771,409 is 1414295415.

Find LCM of 299,585,771,409 with Prime Factorization


3 299, 585, 771, 409
13 299, 195, 257, 409
23, 15, 257, 409

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

3 x 13 x 23 x 15 x 257 x 409 = 1414295415

Therefore, the lowest common multiple of 299,585,771,409 is 1414295415.

LCM Formula to Find Lowest Common Multiple of 299,585,771,409

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.

299 x 585 x 771 x 409 = 55157521185

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.

299 : 1, 13, 23, 299

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

771 : 1, 3, 257, 771

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,585,771,409, is 1.

Now, the common factors can be found like this.

299:13x 23

585:3x 3x 5x 13

771:3x 257

409:409

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

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 55157521185/(1x39)

LCM = 55157521185/39

LCM = 1414295415

Thus, we can understand that the LCM of 299,585,771,409 is 1414295415.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 299, 585, 771, 409

1. What is the LCM of 299, 585, 771, 409?

Answer: LCM of 299, 585, 771, 409 is 1414295415.

2. How to calculate the LCM of 299, 585, 771, 409?

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 299, 585, 771, 409.

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}.