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LCM of 428, 751, 663, 638

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


Find the LCM of 428, 751, 663, 638 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 428, 751, 663, 638. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 428,751,663,638

Given numbers are 428,751,663,638

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

The LCM of 428,751,663,638 is 67981057716.

Find LCM of 428,751,663,638 with Prime Factorization


2 428, 751, 663, 638
214, 751, 663, 319

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

2 x 214 x 751 x 663 x 319 = 67981057716

Therefore, the lowest common multiple of 428,751,663,638 is 67981057716.

LCM Formula to Find Lowest Common Multiple of 428,751,663,638

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.

428 x 751 x 663 x 638 = 135962115432

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.

428 : 1, 2, 4, 107, 214, 428

751 : 1, 751

663 : 1, 3, 13, 17, 39, 51, 221, 663

638 : 1, 2, 11, 22, 29, 58, 319, 638

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,751,663,638, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

751:751

663:3x 13x 17

638:2x 11x 29

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 = 135962115432/(1x2)

LCM = 135962115432/2

LCM = 67981057716

Thus, we can understand that the LCM of 428,751,663,638 is 67981057716.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 428, 751, 663, 638

1. What is the LCM of 428, 751, 663, 638?

Answer: LCM of 428, 751, 663, 638 is 67981057716.

2. How to calculate the LCM of 428, 751, 663, 638?

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 428, 751, 663, 638.

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}.