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LCM of 677, 747, 971, 249

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


Find the LCM of 677, 747, 971, 249 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 677, 747, 971, 249. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 677,747,971,249

Given numbers are 677,747,971,249

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

The LCM of 677,747,971,249 is 491053149.

Find LCM of 677,747,971,249 with Prime Factorization


3 677, 747, 971, 249
83 677, 249, 971, 83
677, 3, 971, 1

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

3 x 83 x 677 x 3 x 971 x 1 = 491053149

Therefore, the lowest common multiple of 677,747,971,249 is 491053149.

LCM Formula to Find Lowest Common Multiple of 677,747,971,249

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.

677 x 747 x 971 x 249 = 122272234101

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.

677 : 1, 677

747 : 1, 3, 9, 83, 249, 747

971 : 1, 971

249 : 1, 3, 83, 249

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,747,971,249, is 1.

Now, the common factors can be found like this.

677:677

747:3x 3x 83

971:971

249:3x 83

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

3x 83 = 249

Therefore, the value for common factors is 249.

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 = 122272234101/(1x249)

LCM = 122272234101/249

LCM = 491053149

Thus, we can understand that the LCM of 677,747,971,249 is 491053149.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 677, 747, 971, 249

1. What is the LCM of 677, 747, 971, 249?

Answer: LCM of 677, 747, 971, 249 is 491053149.

2. How to calculate the LCM of 677, 747, 971, 249?

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 677, 747, 971, 249.

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}.