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LCM of 766, 413, 361, 914, 211

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


Find the LCM of 766, 413, 361, 914, 211 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 766, 413, 361, 914, 211. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 766,413,361,914,211

Given numbers are 766,413,361,914,211

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

The LCM of 766,413,361,914,211 is 11012468484626.

Find LCM of 766,413,361,914,211 with Prime Factorization


2 766, 413, 361, 914, 211
383, 413, 361, 457, 211

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

2 x 383 x 413 x 361 x 457 x 211 = 11012468484626

Therefore, the lowest common multiple of 766,413,361,914,211 is 11012468484626.

LCM Formula to Find Lowest Common Multiple of 766,413,361,914,211

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.

766 x 413 x 361 x 914 x 211 = 22024936969252

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.

766 : 1, 2, 383, 766

413 : 1, 7, 59, 413

361 : 1, 19, 361

914 : 1, 2, 457, 914

211 : 1, 211

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,413,361,914,211, is 1.

Now, the common factors can be found like this.

766:2x 383

413:7x 59

361:19x 19

914:2x 457

211:211

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

2 = 2

Therefore, the value for common factors is 2.

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 = 22024936969252/(1x2)

LCM = 22024936969252/2

LCM = 11012468484626

Thus, we can understand that the LCM of 766,413,361,914,211 is 11012468484626.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 766, 413, 361, 914, 211

1. What is the LCM of 766, 413, 361, 914, 211?

Answer: LCM of 766, 413, 361, 914, 211 is 11012468484626.

2. How to calculate the LCM of 766, 413, 361, 914, 211?

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 766, 413, 361, 914, 211.

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}.