LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 709, 765, 615, 493, 473

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


Find the LCM of 709, 765, 615, 493, 473 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 709, 765, 615, 493, 473. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 709,765,615,493,473

Given numbers are 709,765,615,493,473

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

The LCM of 709,765,615,493,473 is 305035696845.

Find LCM of 709,765,615,493,473 with Prime Factorization


3 709, 765, 615, 493, 473
5 709, 255, 205, 493, 473
17 709, 51, 41, 493, 473
709, 3, 41, 29, 473

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

3 x 5 x 17 x 709 x 3 x 41 x 29 x 473 = 305035696845

Therefore, the lowest common multiple of 709,765,615,493,473 is 305035696845.

LCM Formula to Find Lowest Common Multiple of 709,765,615,493,473

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.

709 x 765 x 615 x 493 x 473 = 77784102695475

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.

709 : 1, 709

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

615 : 1, 3, 5, 15, 41, 123, 205, 615

493 : 1, 17, 29, 493

473 : 1, 11, 43, 473

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,765,615,493,473, is 1.

Now, the common factors can be found like this.

709:709

765:3x 3x 5x 17

615:3x 5x 41

493:17x 29

473:11x 43

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

3x 5x 17 = 255

Therefore, the value for common factors is 255.

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 = 77784102695475/(1x255)

LCM = 77784102695475/255

LCM = 305035696845

Thus, we can understand that the LCM of 709,765,615,493,473 is 305035696845.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 709, 765, 615, 493, 473

1. What is the LCM of 709, 765, 615, 493, 473?

Answer: LCM of 709, 765, 615, 493, 473 is 305035696845.

2. How to calculate the LCM of 709, 765, 615, 493, 473?

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 709, 765, 615, 493, 473.

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}.