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LCM of 201, 231, 759, 958, 566

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


Find the LCM of 201, 231, 759, 958, 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 201, 231, 759, 958, 566. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 201,231,759,958,566

Given numbers are 201,231,759,958,566

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

The LCM of 201,231,759,958,566 is 96508721694.

Find LCM of 201,231,759,958,566 with Prime Factorization


2 201, 231, 759, 958, 566
3 201, 231, 759, 479, 283
11 67, 77, 253, 479, 283
67, 7, 23, 479, 283

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

2 x 3 x 11 x 67 x 7 x 23 x 479 x 283 = 96508721694

Therefore, the lowest common multiple of 201,231,759,958,566 is 96508721694.

LCM Formula to Find Lowest Common Multiple of 201,231,759,958,566

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.

201 x 231 x 759 x 958 x 566 = 19108726895412

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.

201 : 1, 3, 67, 201

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

759 : 1, 3, 11, 23, 33, 69, 253, 759

958 : 1, 2, 479, 958

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,231,759,958,566, is 1.

Now, the common factors can be found like this.

201:3x 67

231:3x 7x 11

759:3x 11x 23

958:2x 479

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 3x 3x 11 = 198

Therefore, the value for common factors is 198.

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 = 19108726895412/(1x198)

LCM = 19108726895412/198

LCM = 96508721694

Thus, we can understand that the LCM of 201,231,759,958,566 is 96508721694.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 201, 231, 759, 958, 566

1. What is the LCM of 201, 231, 759, 958, 566?

Answer: LCM of 201, 231, 759, 958, 566 is 96508721694.

2. How to calculate the LCM of 201, 231, 759, 958, 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 201, 231, 759, 958, 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}.