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LCM of 798, 182, 635, 574, 224

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


Find the LCM of 798, 182, 635, 574, 224 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 798, 182, 635, 574, 224. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 798,182,635,574,224

Given numbers are 798,182,635,574,224

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

The LCM of 798,182,635,574,224 is 4321393440.

Find LCM of 798,182,635,574,224 with Prime Factorization


2 798, 182, 635, 574, 224
7 399, 91, 635, 287, 112
57, 13, 635, 41, 16

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

2 x 7 x 57 x 13 x 635 x 41 x 16 = 4321393440

Therefore, the lowest common multiple of 798,182,635,574,224 is 4321393440.

LCM Formula to Find Lowest Common Multiple of 798,182,635,574,224

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.

798 x 182 x 635 x 574 x 224 = 11857903599360

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.

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

182 : 1, 2, 7, 13, 14, 26, 91, 182

635 : 1, 5, 127, 635

574 : 1, 2, 7, 14, 41, 82, 287, 574

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,182,635,574,224, is 1.

Now, the common factors can be found like this.

798:2x 3x 7x 19

182:2x 7x 13

635:5x 127

574:2x 7x 41

224:2x 2x 2x 2x 2x 7

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 2x 7x 7x 7 = 2744

Therefore, the value for common factors is 2744.

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 = 11857903599360/(1x2744)

LCM = 11857903599360/2744

LCM = 4321393440

Thus, we can understand that the LCM of 798,182,635,574,224 is 4321393440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 798, 182, 635, 574, 224

1. What is the LCM of 798, 182, 635, 574, 224?

Answer: LCM of 798, 182, 635, 574, 224 is 4321393440.

2. How to calculate the LCM of 798, 182, 635, 574, 224?

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 798, 182, 635, 574, 224.

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}.