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LCM of 408, 751, 311, 271, 909

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


Find the LCM of 408, 751, 311, 271, 909 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 408, 751, 311, 271, 909. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 408,751,311,271,909

Given numbers are 408,751,311,271,909

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

The LCM of 408,751,311,271,909 is 7824784912344.

Find LCM of 408,751,311,271,909 with Prime Factorization


3 408, 751, 311, 271, 909
136, 751, 311, 271, 303

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

3 x 136 x 751 x 311 x 271 x 303 = 7824784912344

Therefore, the lowest common multiple of 408,751,311,271,909 is 7824784912344.

LCM Formula to Find Lowest Common Multiple of 408,751,311,271,909

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.

408 x 751 x 311 x 271 x 909 = 23474354737032

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.

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

751 : 1, 751

311 : 1, 311

271 : 1, 271

909 : 1, 3, 9, 101, 303, 909

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,751,311,271,909, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

751:751

311:311

271:271

909:3x 3x 101

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

3 = 3

Therefore, the value for common factors is 3.

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 = 23474354737032/(1x3)

LCM = 23474354737032/3

LCM = 7824784912344

Thus, we can understand that the LCM of 408,751,311,271,909 is 7824784912344.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 408, 751, 311, 271, 909

1. What is the LCM of 408, 751, 311, 271, 909?

Answer: LCM of 408, 751, 311, 271, 909 is 7824784912344.

2. How to calculate the LCM of 408, 751, 311, 271, 909?

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 408, 751, 311, 271, 909.

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}.