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LCM of 143, 731, 338, 255

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


Find the LCM of 143, 731, 338, 255 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 143, 731, 338, 255. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 143,731,338,255

Given numbers are 143,731,338,255

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

The LCM of 143,731,338,255 is 40767870.

Find LCM of 143,731,338,255 with Prime Factorization


13 143, 731, 338, 255
17 11, 731, 26, 255
11, 43, 26, 15

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

13 x 17 x 11 x 43 x 26 x 15 = 40767870

Therefore, the lowest common multiple of 143,731,338,255 is 40767870.

LCM Formula to Find Lowest Common Multiple of 143,731,338,255

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.

143 x 731 x 338 x 255 = 9009699270

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.

143 : 1, 11, 13, 143

731 : 1, 17, 43, 731

338 : 1, 2, 13, 26, 169, 338

255 : 1, 3, 5, 15, 17, 51, 85, 255

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,731,338,255, is 1.

Now, the common factors can be found like this.

143:11x 13

731:17x 43

338:2x 13x 13

255:3x 5x 17

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

13x 17 = 221

Therefore, the value for common factors is 221.

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 = 9009699270/(1x221)

LCM = 9009699270/221

LCM = 40767870

Thus, we can understand that the LCM of 143,731,338,255 is 40767870.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 143, 731, 338, 255

1. What is the LCM of 143, 731, 338, 255?

Answer: LCM of 143, 731, 338, 255 is 40767870.

2. How to calculate the LCM of 143, 731, 338, 255?

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 143, 731, 338, 255.

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}.