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LCM of 535, 638, 198, 634

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


Find the LCM of 535, 638, 198, 634 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 535, 638, 198, 634. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 535,638,198,634

Given numbers are 535,638,198,634

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

The LCM of 535,638,198,634 is 973814490.

Find LCM of 535,638,198,634 with Prime Factorization


2 535, 638, 198, 634
11 535, 319, 99, 317
535, 29, 9, 317

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

2 x 11 x 535 x 29 x 9 x 317 = 973814490

Therefore, the lowest common multiple of 535,638,198,634 is 973814490.

LCM Formula to Find Lowest Common Multiple of 535,638,198,634

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.

535 x 638 x 198 x 634 = 42847837560

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.

535 : 1, 5, 107, 535

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

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

634 : 1, 2, 317, 634

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,638,198,634, is 1.

Now, the common factors can be found like this.

535:5x 107

638:2x 11x 29

198:2x 3x 3x 11

634:2x 317

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

2x 2x 11 = 44

Therefore, the value for common factors is 44.

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 = 42847837560/(1x44)

LCM = 42847837560/44

LCM = 973814490

Thus, we can understand that the LCM of 535,638,198,634 is 973814490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 535, 638, 198, 634

1. What is the LCM of 535, 638, 198, 634?

Answer: LCM of 535, 638, 198, 634 is 973814490.

2. How to calculate the LCM of 535, 638, 198, 634?

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 535, 638, 198, 634.

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}.