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 547, 418, 505, 979, 729

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


Find the LCM of 547, 418, 505, 979, 729 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 547, 418, 505, 979, 729. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 547,418,505,979,729

Given numbers are 547,418,505,979,729

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

The LCM of 547,418,505,979,729 is 7491564468630.

Find LCM of 547,418,505,979,729 with Prime Factorization


11 547, 418, 505, 979, 729
547, 38, 505, 89, 729

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

11 x 547 x 38 x 505 x 89 x 729 = 7491564468630

Therefore, the lowest common multiple of 547,418,505,979,729 is 7491564468630.

LCM Formula to Find Lowest Common Multiple of 547,418,505,979,729

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.

547 x 418 x 505 x 979 x 729 = 82407209154930

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.

547 : 1, 547

418 : 1, 2, 11, 19, 22, 38, 209, 418

505 : 1, 5, 101, 505

979 : 1, 11, 89, 979

729 : 1, 3, 9, 27, 81, 243, 729

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,418,505,979,729, is 1.

Now, the common factors can be found like this.

547:547

418:2x 11x 19

505:5x 101

979:11x 89

729:3x 3x 3x 3x 3x 3

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

11 = 11

Therefore, the value for common factors is 11.

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 = 82407209154930/(1x11)

LCM = 82407209154930/11

LCM = 7491564468630

Thus, we can understand that the LCM of 547,418,505,979,729 is 7491564468630.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 547, 418, 505, 979, 729

1. What is the LCM of 547, 418, 505, 979, 729?

Answer: LCM of 547, 418, 505, 979, 729 is 7491564468630.

2. How to calculate the LCM of 547, 418, 505, 979, 729?

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 547, 418, 505, 979, 729.

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}.