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LCM of 261, 203, 201, 408

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


Find the LCM of 261, 203, 201, 408 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 261, 203, 201, 408. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 261,203,201,408

Given numbers are 261,203,201,408

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

The LCM of 261,203,201,408 is 16647624.

Find LCM of 261,203,201,408 with Prime Factorization


3 261, 203, 201, 408
29 87, 203, 67, 136
3, 7, 67, 136

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

3 x 29 x 3 x 7 x 67 x 136 = 16647624

Therefore, the lowest common multiple of 261,203,201,408 is 16647624.

LCM Formula to Find Lowest Common Multiple of 261,203,201,408

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.

261 x 203 x 201 x 408 = 4345029864

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.

261 : 1, 3, 9, 29, 87, 261

203 : 1, 7, 29, 203

201 : 1, 3, 67, 201

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,203,201,408, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

203:7x 29

201:3x 67

408:2x 2x 2x 3x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 29 = 261

Therefore, the value for common factors is 261.

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 = 4345029864/(1x261)

LCM = 4345029864/261

LCM = 16647624

Thus, we can understand that the LCM of 261,203,201,408 is 16647624.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 261, 203, 201, 408

1. What is the LCM of 261, 203, 201, 408?

Answer: LCM of 261, 203, 201, 408 is 16647624.

2. How to calculate the LCM of 261, 203, 201, 408?

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 261, 203, 201, 408.

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}.