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LCM of 377, 422, 497, 676

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


Find the LCM of 377, 422, 497, 676 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 377, 422, 497, 676. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 377,422,497,676

Given numbers are 377,422,497,676

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

The LCM of 377,422,497,676 is 2055812668.

Find LCM of 377,422,497,676 with Prime Factorization


2 377, 422, 497, 676
13 377, 211, 497, 338
29, 211, 497, 26

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

2 x 13 x 29 x 211 x 497 x 26 = 2055812668

Therefore, the lowest common multiple of 377,422,497,676 is 2055812668.

LCM Formula to Find Lowest Common Multiple of 377,422,497,676

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.

377 x 422 x 497 x 676 = 53451129368

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.

377 : 1, 13, 29, 377

422 : 1, 2, 211, 422

497 : 1, 7, 71, 497

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,422,497,676, is 1.

Now, the common factors can be found like this.

377:13x 29

422:2x 211

497:7x 71

676:2x 2x 13x 13

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 53451129368/(1x26)

LCM = 53451129368/26

LCM = 2055812668

Thus, we can understand that the LCM of 377,422,497,676 is 2055812668.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 377, 422, 497, 676

1. What is the LCM of 377, 422, 497, 676?

Answer: LCM of 377, 422, 497, 676 is 2055812668.

2. How to calculate the LCM of 377, 422, 497, 676?

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 377, 422, 497, 676.

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}.