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 504, 585, 595, 273, 218

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


Find the LCM of 504, 585, 595, 273, 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 504, 585, 595, 273, 218. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 504,585,595,273,218

Given numbers are 504,585,595,273,218

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

The LCM of 504,585,595,273,218 is 60704280.

Find LCM of 504,585,595,273,218 with Prime Factorization


2 504, 585, 595, 273, 218
3 252, 585, 595, 273, 109
3 84, 195, 595, 91, 109
5 28, 65, 595, 91, 109
7 28, 13, 119, 91, 109
13 4, 13, 17, 13, 109
4, 1, 17, 1, 109

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

2 x 3 x 3 x 5 x 7 x 13 x 4 x 1 x 17 x 1 x 109 = 60704280

Therefore, the lowest common multiple of 504,585,595,273,218 is 60704280.

LCM Formula to Find Lowest Common Multiple of 504,585,595,273,218

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.

504 x 585 x 595 x 273 x 218 = 10440529117200

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

595 : 1, 5, 7, 17, 35, 85, 119, 595

273 : 1, 3, 7, 13, 21, 39, 91, 273

218 : 1, 2, 109, 218

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,585,595,273,218, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

585:3x 3x 5x 13

595:5x 7x 17

273:3x 7x 13

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 3x 3x 3x 5x 7x 7x 13 = 171990

Therefore, the value for common factors is 171990.

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 = 10440529117200/(1x171990)

LCM = 10440529117200/171990

LCM = 60704280

Thus, we can understand that the LCM of 504,585,595,273,218 is 60704280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 504, 585, 595, 273, 218

1. What is the LCM of 504, 585, 595, 273, 218?

Answer: LCM of 504, 585, 595, 273, 218 is 60704280.

2. How to calculate the LCM of 504, 585, 595, 273, 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 504, 585, 595, 273, 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}.