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 717, 661, 601, 495, 462

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


Find the LCM of 717, 661, 601, 495, 462 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 717, 661, 601, 495, 462. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 717,661,601,495,462

Given numbers are 717,661,601,495,462

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

The LCM of 717,661,601,495,462 is 657971476470.

Find LCM of 717,661,601,495,462 with Prime Factorization


3 717, 661, 601, 495, 462
11 239, 661, 601, 165, 154
239, 661, 601, 15, 14

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

3 x 11 x 239 x 661 x 601 x 15 x 14 = 657971476470

Therefore, the lowest common multiple of 717,661,601,495,462 is 657971476470.

LCM Formula to Find Lowest Common Multiple of 717,661,601,495,462

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.

717 x 661 x 601 x 495 x 462 = 65139176170530

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.

717 : 1, 3, 239, 717

661 : 1, 661

601 : 1, 601

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,661,601,495,462, is 1.

Now, the common factors can be found like this.

717:3x 239

661:661

601:601

495:3x 3x 5x 11

462:2x 3x 7x 11

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 11 = 99

Therefore, the value for common factors is 99.

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 = 65139176170530/(1x99)

LCM = 65139176170530/99

LCM = 657971476470

Thus, we can understand that the LCM of 717,661,601,495,462 is 657971476470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 717, 661, 601, 495, 462

1. What is the LCM of 717, 661, 601, 495, 462?

Answer: LCM of 717, 661, 601, 495, 462 is 657971476470.

2. How to calculate the LCM of 717, 661, 601, 495, 462?

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 717, 661, 601, 495, 462.

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}.