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LCM of 575, 283, 766, 345, 224

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


Find the LCM of 575, 283, 766, 345, 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 575, 283, 766, 345, 224. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 575,283,766,345,224

Given numbers are 575,283,766,345,224

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

The LCM of 575,283,766,345,224 is 41881509600.

Find LCM of 575,283,766,345,224 with Prime Factorization


2 575, 283, 766, 345, 224
5 575, 283, 383, 345, 112
23 115, 283, 383, 69, 112
5, 283, 383, 3, 112

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

2 x 5 x 23 x 5 x 283 x 383 x 3 x 112 = 41881509600

Therefore, the lowest common multiple of 575,283,766,345,224 is 41881509600.

LCM Formula to Find Lowest Common Multiple of 575,283,766,345,224

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.

575 x 283 x 766 x 345 x 224 = 9632747208000

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.

575 : 1, 5, 23, 25, 115, 575

283 : 1, 283

766 : 1, 2, 383, 766

345 : 1, 3, 5, 15, 23, 69, 115, 345

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 575,283,766,345,224, is 1.

Now, the common factors can be found like this.

575:5x 5x 23

283:283

766:2x 383

345:3x 5x 23

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 5x 23 = 230

Therefore, the value for common factors is 230.

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 = 9632747208000/(1x230)

LCM = 9632747208000/230

LCM = 41881509600

Thus, we can understand that the LCM of 575,283,766,345,224 is 41881509600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 575, 283, 766, 345, 224

1. What is the LCM of 575, 283, 766, 345, 224?

Answer: LCM of 575, 283, 766, 345, 224 is 41881509600.

2. How to calculate the LCM of 575, 283, 766, 345, 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 575, 283, 766, 345, 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}.