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LCM of 230, 128, 552, 403, 794

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


Find the LCM of 230, 128, 552, 403, 794 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 230, 128, 552, 403, 794. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 230,128,552,403,794

Given numbers are 230,128,552,403,794

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

The LCM of 230,128,552,403,794 is 7065202560.

Find LCM of 230,128,552,403,794 with Prime Factorization


2 230, 128, 552, 403, 794
2 115, 64, 276, 403, 397
2 115, 32, 138, 403, 397
23 115, 16, 69, 403, 397
5, 16, 3, 403, 397

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

2 x 2 x 2 x 23 x 5 x 16 x 3 x 403 x 397 = 7065202560

Therefore, the lowest common multiple of 230,128,552,403,794 is 7065202560.

LCM Formula to Find Lowest Common Multiple of 230,128,552,403,794

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.

230 x 128 x 552 x 403 x 794 = 5199989084160

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

128 : 1, 2, 4, 8, 16, 32, 64, 128

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

403 : 1, 13, 31, 403

794 : 1, 2, 397, 794

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,128,552,403,794, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

128:2x 2x 2x 2x 2x 2x 2

552:2x 2x 2x 3x 23

403:13x 31

794:2x 397

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 2x 2x 23 = 736

Therefore, the value for common factors is 736.

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 = 5199989084160/(1x736)

LCM = 5199989084160/736

LCM = 7065202560

Thus, we can understand that the LCM of 230,128,552,403,794 is 7065202560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 230, 128, 552, 403, 794

1. What is the LCM of 230, 128, 552, 403, 794?

Answer: LCM of 230, 128, 552, 403, 794 is 7065202560.

2. How to calculate the LCM of 230, 128, 552, 403, 794?

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 230, 128, 552, 403, 794.

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}.