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LCM of 439, 494, 220, 215, 135

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


Find the LCM of 439, 494, 220, 215, 135 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 439, 494, 220, 215, 135. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 439,494,220,215,135

Given numbers are 439,494,220,215,135

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

The LCM of 439,494,220,215,135 is 27695956860.

Find LCM of 439,494,220,215,135 with Prime Factorization


2 439, 494, 220, 215, 135
5 439, 247, 110, 215, 135
439, 247, 22, 43, 27

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

2 x 5 x 439 x 247 x 22 x 43 x 27 = 27695956860

Therefore, the lowest common multiple of 439,494,220,215,135 is 27695956860.

LCM Formula to Find Lowest Common Multiple of 439,494,220,215,135

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.

439 x 494 x 220 x 215 x 135 = 1384797843000

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.

439 : 1, 439

494 : 1, 2, 13, 19, 26, 38, 247, 494

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

215 : 1, 5, 43, 215

135 : 1, 3, 5, 9, 15, 27, 45, 135

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 439,494,220,215,135, is 1.

Now, the common factors can be found like this.

439:439

494:2x 13x 19

220:2x 2x 5x 11

215:5x 43

135:3x 3x 3x 5

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

2x 5x 5 = 50

Therefore, the value for common factors is 50.

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 = 1384797843000/(1x50)

LCM = 1384797843000/50

LCM = 27695956860

Thus, we can understand that the LCM of 439,494,220,215,135 is 27695956860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 439, 494, 220, 215, 135

1. What is the LCM of 439, 494, 220, 215, 135?

Answer: LCM of 439, 494, 220, 215, 135 is 27695956860.

2. How to calculate the LCM of 439, 494, 220, 215, 135?

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 439, 494, 220, 215, 135.

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}.