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LCM of 719, 181, 693, 720

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


Find the LCM of 719, 181, 693, 720 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 719, 181, 693, 720. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 719,181,693,720

Given numbers are 719,181,693,720

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

The LCM of 719,181,693,720 is 7214906160.

Find LCM of 719,181,693,720 with Prime Factorization


3 719, 181, 693, 720
3 719, 181, 231, 240
719, 181, 77, 80

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

3 x 3 x 719 x 181 x 77 x 80 = 7214906160

Therefore, the lowest common multiple of 719,181,693,720 is 7214906160.

LCM Formula to Find Lowest Common Multiple of 719,181,693,720

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.

719 x 181 x 693 x 720 = 64934155440

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.

719 : 1, 719

181 : 1, 181

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,181,693,720, is 1.

Now, the common factors can be found like this.

719:719

181:181

693:3x 3x 7x 11

720:2x 2x 2x 2x 3x 3x 5

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 64934155440/(1x9)

LCM = 64934155440/9

LCM = 7214906160

Thus, we can understand that the LCM of 719,181,693,720 is 7214906160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 719, 181, 693, 720

1. What is the LCM of 719, 181, 693, 720?

Answer: LCM of 719, 181, 693, 720 is 7214906160.

2. How to calculate the LCM of 719, 181, 693, 720?

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 719, 181, 693, 720.

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}.