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LCM of 657, 198, 231, 224, 566

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


Find the LCM of 657, 198, 231, 224, 566 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 657, 198, 231, 224, 566. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 657,198,231,224,566

Given numbers are 657,198,231,224,566

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

The LCM of 657,198,231,224,566 is 458133984.

Find LCM of 657,198,231,224,566 with Prime Factorization


2 657, 198, 231, 224, 566
3 657, 99, 231, 112, 283
3 219, 33, 77, 112, 283
7 73, 11, 77, 112, 283
11 73, 11, 11, 16, 283
73, 1, 1, 16, 283

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

2 x 3 x 3 x 7 x 11 x 73 x 1 x 1 x 16 x 283 = 458133984

Therefore, the lowest common multiple of 657,198,231,224,566 is 458133984.

LCM Formula to Find Lowest Common Multiple of 657,198,231,224,566

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.

657 x 198 x 231 x 224 x 566 = 3809842210944

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.

657 : 1, 3, 9, 73, 219, 657

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

231 : 1, 3, 7, 11, 21, 33, 77, 231

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

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,198,231,224,566, is 1.

Now, the common factors can be found like this.

657:3x 3x 73

198:2x 3x 3x 11

231:3x 7x 11

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

566:2x 283

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 3x 3x 3x 7x 11 = 8316

Therefore, the value for common factors is 8316.

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 = 3809842210944/(1x8316)

LCM = 3809842210944/8316

LCM = 458133984

Thus, we can understand that the LCM of 657,198,231,224,566 is 458133984.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 657, 198, 231, 224, 566

1. What is the LCM of 657, 198, 231, 224, 566?

Answer: LCM of 657, 198, 231, 224, 566 is 458133984.

2. How to calculate the LCM of 657, 198, 231, 224, 566?

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 657, 198, 231, 224, 566.

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}.