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 501, 617, 747

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


Find the LCM of 501, 617, 747 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 501, 617, 747. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 501,617,747

Given numbers are 501,617,747

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

The LCM of 501,617,747 is 76970133.

Find LCM of 501,617,747 with Prime Factorization


3 501, 617, 747
167, 617, 249

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

3 x 167 x 617 x 249 = 76970133

Therefore, the lowest common multiple of 501,617,747 is 76970133.

LCM Formula to Find Lowest Common Multiple of 501,617,747

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.

501 x 617 x 747 = 230910399

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.

501 : 1, 3, 167, 501

617 : 1, 617

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,617,747, is 1.

Now, the common factors can be found like this.

501:3x 167

617:617

747:3x 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.

3 = 3

Therefore, the value for common factors is 3.

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 = 230910399/(1x3)

LCM = 230910399/3

LCM = 76970133

Thus, we can understand that the LCM of 501,617,747 is 76970133.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 501, 617, 747

1. What is the LCM of 501, 617, 747?

Answer: LCM of 501, 617, 747 is 76970133.

2. How to calculate the LCM of 501, 617, 747?

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 501, 617, 747.

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}.