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LCM of 815, 605, 847, 384, 224

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


Find the LCM of 815, 605, 847, 384, 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 815, 605, 847, 384, 224. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 815,605,847,384,224

Given numbers are 815,605,847,384,224

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

The LCM of 815,605,847,384,224 is 265077120.

Find LCM of 815,605,847,384,224 with Prime Factorization


2 815, 605, 847, 384, 224
2 815, 605, 847, 192, 112
2 815, 605, 847, 96, 56
2 815, 605, 847, 48, 28
2 815, 605, 847, 24, 14
5 815, 605, 847, 12, 7
7 163, 121, 847, 12, 7
11 163, 121, 121, 12, 1
11 163, 11, 11, 12, 1
163, 1, 1, 12, 1

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

2 x 2 x 2 x 2 x 2 x 5 x 7 x 11 x 11 x 163 x 1 x 1 x 12 x 1 = 265077120

Therefore, the lowest common multiple of 815,605,847,384,224 is 265077120.

LCM Formula to Find Lowest Common Multiple of 815,605,847,384,224

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.

815 x 605 x 847 x 384 x 224 = 35923251302400

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.

815 : 1, 5, 163, 815

605 : 1, 5, 11, 55, 121, 605

847 : 1, 7, 11, 77, 121, 847

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

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 815,605,847,384,224, is 1.

Now, the common factors can be found like this.

815:5x 163

605:5x 11x 11

847:7x 11x 11

384:2x 2x 2x 2x 2x 2x 2x 3

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 2x 2x 5x 7x 11x 11 = 135520

Therefore, the value for common factors is 135520.

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 = 35923251302400/(1x135520)

LCM = 35923251302400/135520

LCM = 265077120

Thus, we can understand that the LCM of 815,605,847,384,224 is 265077120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 815, 605, 847, 384, 224

1. What is the LCM of 815, 605, 847, 384, 224?

Answer: LCM of 815, 605, 847, 384, 224 is 265077120.

2. How to calculate the LCM of 815, 605, 847, 384, 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 815, 605, 847, 384, 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}.