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LCM of 201, 516, 576, 211, 177

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


Find the LCM of 201, 516, 576, 211, 177 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, 516, 576, 211, 177. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 201,516,576,211,177

Given numbers are 201,516,576,211,177

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

The LCM of 201,516,576,211,177 is 20658567744.

Find LCM of 201,516,576,211,177 with Prime Factorization


2 201, 516, 576, 211, 177
2 201, 258, 288, 211, 177
3 201, 129, 144, 211, 177
67, 43, 48, 211, 59

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

2 x 2 x 3 x 67 x 43 x 48 x 211 x 59 = 20658567744

Therefore, the lowest common multiple of 201,516,576,211,177 is 20658567744.

LCM Formula to Find Lowest Common Multiple of 201,516,576,211,177

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 516 x 576 x 211 x 177 = 2231125316352

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

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

211 : 1, 211

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,516,576,211,177, is 1.

Now, the common factors can be found like this.

201:3x 67

516:2x 2x 3x 43

576:2x 2x 2x 2x 2x 2x 3x 3

211:211

177:3x 59

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 3 = 108

Therefore, the value for common factors is 108.

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 = 2231125316352/(1x108)

LCM = 2231125316352/108

LCM = 20658567744

Thus, we can understand that the LCM of 201,516,576,211,177 is 20658567744.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 201, 516, 576, 211, 177

1. What is the LCM of 201, 516, 576, 211, 177?

Answer: LCM of 201, 516, 576, 211, 177 is 20658567744.

2. How to calculate the LCM of 201, 516, 576, 211, 177?

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, 516, 576, 211, 177.

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}.