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LCM of 766, 334, 482, 537

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


Find the LCM of 766, 334, 482, 537 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, 334, 482, 537. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 766,334,482,537

Given numbers are 766,334,482,537

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

The LCM of 766,334,482,537 is 16555281474.

Find LCM of 766,334,482,537 with Prime Factorization


2 766, 334, 482, 537
383, 167, 241, 537

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

2 x 383 x 167 x 241 x 537 = 16555281474

Therefore, the lowest common multiple of 766,334,482,537 is 16555281474.

LCM Formula to Find Lowest Common Multiple of 766,334,482,537

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 334 x 482 x 537 = 66221125896

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

334 : 1, 2, 167, 334

482 : 1, 2, 241, 482

537 : 1, 3, 179, 537

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,334,482,537, is 1.

Now, the common factors can be found like this.

766:2x 383

334:2x 167

482:2x 241

537:3x 179

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 66221125896/(1x4)

LCM = 66221125896/4

LCM = 16555281474

Thus, we can understand that the LCM of 766,334,482,537 is 16555281474.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 766, 334, 482, 537

1. What is the LCM of 766, 334, 482, 537?

Answer: LCM of 766, 334, 482, 537 is 16555281474.

2. How to calculate the LCM of 766, 334, 482, 537?

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, 334, 482, 537.

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}.