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 327, 700, 542, 449, 218

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


Find the LCM of 327, 700, 542, 449, 218 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 327, 700, 542, 449, 218. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 327,700,542,449,218

Given numbers are 327,700,542,449,218

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

The LCM of 327,700,542,449,218 is 27852323100.

Find LCM of 327,700,542,449,218 with Prime Factorization


2 327, 700, 542, 449, 218
109 327, 350, 271, 449, 109
3, 350, 271, 449, 1

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

2 x 109 x 3 x 350 x 271 x 449 x 1 = 27852323100

Therefore, the lowest common multiple of 327,700,542,449,218 is 27852323100.

LCM Formula to Find Lowest Common Multiple of 327,700,542,449,218

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.

327 x 700 x 542 x 449 x 218 = 12143612871600

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.

327 : 1, 3, 109, 327

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

542 : 1, 2, 271, 542

449 : 1, 449

218 : 1, 2, 109, 218

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,700,542,449,218, is 1.

Now, the common factors can be found like this.

327:3x 109

700:2x 2x 5x 5x 7

542:2x 271

449:449

218:2x 109

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

2x 2x 109 = 436

Therefore, the value for common factors is 436.

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 = 12143612871600/(1x436)

LCM = 12143612871600/436

LCM = 27852323100

Thus, we can understand that the LCM of 327,700,542,449,218 is 27852323100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 327, 700, 542, 449, 218

1. What is the LCM of 327, 700, 542, 449, 218?

Answer: LCM of 327, 700, 542, 449, 218 is 27852323100.

2. How to calculate the LCM of 327, 700, 542, 449, 218?

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 327, 700, 542, 449, 218.

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}.