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LCM of 559, 370, 218, 273

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


Find the LCM of 559, 370, 218, 273 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 559, 370, 218, 273. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 559,370,218,273

Given numbers are 559,370,218,273

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

The LCM of 559,370,218,273 is 473433870.

Find LCM of 559,370,218,273 with Prime Factorization


2 559, 370, 218, 273
13 559, 185, 109, 273
43, 185, 109, 21

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

2 x 13 x 43 x 185 x 109 x 21 = 473433870

Therefore, the lowest common multiple of 559,370,218,273 is 473433870.

LCM Formula to Find Lowest Common Multiple of 559,370,218,273

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.

559 x 370 x 218 x 273 = 12309280620

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.

559 : 1, 13, 43, 559

370 : 1, 2, 5, 10, 37, 74, 185, 370

218 : 1, 2, 109, 218

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,370,218,273, is 1.

Now, the common factors can be found like this.

559:13x 43

370:2x 5x 37

218:2x 109

273:3x 7x 13

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 12309280620/(1x26)

LCM = 12309280620/26

LCM = 473433870

Thus, we can understand that the LCM of 559,370,218,273 is 473433870.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 559, 370, 218, 273

1. What is the LCM of 559, 370, 218, 273?

Answer: LCM of 559, 370, 218, 273 is 473433870.

2. How to calculate the LCM of 559, 370, 218, 273?

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 559, 370, 218, 273.

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}.