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LCM of 741, 897, 311, 299, 683

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


Find the LCM of 741, 897, 311, 299, 683 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 741, 897, 311, 299, 683. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 741,897,311,299,683

Given numbers are 741,897,311,299,683

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

The LCM of 741,897,311,299,683 is 3620154759.

Find LCM of 741,897,311,299,683 with Prime Factorization


3 741, 897, 311, 299, 683
13 247, 299, 311, 299, 683
23 19, 23, 311, 23, 683
19, 1, 311, 1, 683

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

3 x 13 x 23 x 19 x 1 x 311 x 1 x 683 = 3620154759

Therefore, the lowest common multiple of 741,897,311,299,683 is 3620154759.

LCM Formula to Find Lowest Common Multiple of 741,897,311,299,683

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.

741 x 897 x 311 x 299 x 683 = 42214624644699

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.

741 : 1, 3, 13, 19, 39, 57, 247, 741

897 : 1, 3, 13, 23, 39, 69, 299, 897

311 : 1, 311

299 : 1, 13, 23, 299

683 : 1, 683

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,897,311,299,683, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

897:3x 13x 23

311:311

299:13x 23

683:683

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

3x 13x 13x 23 = 11661

Therefore, the value for common factors is 11661.

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 = 42214624644699/(1x11661)

LCM = 42214624644699/11661

LCM = 3620154759

Thus, we can understand that the LCM of 741,897,311,299,683 is 3620154759.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 741, 897, 311, 299, 683

1. What is the LCM of 741, 897, 311, 299, 683?

Answer: LCM of 741, 897, 311, 299, 683 is 3620154759.

2. How to calculate the LCM of 741, 897, 311, 299, 683?

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 741, 897, 311, 299, 683.

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}.