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LCM of 566, 788, 913, 737

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


Find the LCM of 566, 788, 913, 737 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 566, 788, 913, 737. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 566,788,913,737

Given numbers are 566,788,913,737

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

The LCM of 566,788,913,737 is 13641377684.

Find LCM of 566,788,913,737 with Prime Factorization


2 566, 788, 913, 737
11 283, 394, 913, 737
283, 394, 83, 67

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

2 x 11 x 283 x 394 x 83 x 67 = 13641377684

Therefore, the lowest common multiple of 566,788,913,737 is 13641377684.

LCM Formula to Find Lowest Common Multiple of 566,788,913,737

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.

566 x 788 x 913 x 737 = 300110309048

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.

566 : 1, 2, 283, 566

788 : 1, 2, 4, 197, 394, 788

913 : 1, 11, 83, 913

737 : 1, 11, 67, 737

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 566,788,913,737, is 1.

Now, the common factors can be found like this.

566:2x 283

788:2x 2x 197

913:11x 83

737:11x 67

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 300110309048/(1x22)

LCM = 300110309048/22

LCM = 13641377684

Thus, we can understand that the LCM of 566,788,913,737 is 13641377684.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 566, 788, 913, 737

1. What is the LCM of 566, 788, 913, 737?

Answer: LCM of 566, 788, 913, 737 is 13641377684.

2. How to calculate the LCM of 566, 788, 913, 737?

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 566, 788, 913, 737.

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}.