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LCM of 747, 698, 747, 665

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


Find the LCM of 747, 698, 747, 665 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 747, 698, 747, 665. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 747,698,747,665

Given numbers are 747,698,747,665

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

The LCM of 747,698,747,665 is 346734990.

Find LCM of 747,698,747,665 with Prime Factorization


3 747, 698, 747, 665
3 249, 698, 249, 665
83 83, 698, 83, 665
1, 698, 1, 665

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

3 x 3 x 83 x 1 x 698 x 1 x 665 = 346734990

Therefore, the lowest common multiple of 747,698,747,665 is 346734990.

LCM Formula to Find Lowest Common Multiple of 747,698,747,665

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.

747 x 698 x 747 x 665 = 259011037530

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.

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

698 : 1, 2, 349, 698

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

665 : 1, 5, 7, 19, 35, 95, 133, 665

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,698,747,665, is 1.

Now, the common factors can be found like this.

747:3x 3x 83

698:2x 349

747:3x 3x 83

665:5x 7x 19

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 83 = 747

Therefore, the value for common factors is 747.

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 = 259011037530/(1x747)

LCM = 259011037530/747

LCM = 346734990

Thus, we can understand that the LCM of 747,698,747,665 is 346734990.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 747, 698, 747, 665

1. What is the LCM of 747, 698, 747, 665?

Answer: LCM of 747, 698, 747, 665 is 346734990.

2. How to calculate the LCM of 747, 698, 747, 665?

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 747, 698, 747, 665.

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}.