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LCM of 731, 901, 413, 129

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


Find the LCM of 731, 901, 413, 129 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 731, 901, 413, 129. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 731,901,413,129

Given numbers are 731,901,413,129

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

The LCM of 731,901,413,129 is 48002577.

Find LCM of 731,901,413,129 with Prime Factorization


17 731, 901, 413, 129
43 43, 53, 413, 129
1, 53, 413, 3

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

17 x 43 x 1 x 53 x 413 x 3 = 48002577

Therefore, the lowest common multiple of 731,901,413,129 is 48002577.

LCM Formula to Find Lowest Common Multiple of 731,901,413,129

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.

731 x 901 x 413 x 129 = 35089883787

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.

731 : 1, 17, 43, 731

901 : 1, 17, 53, 901

413 : 1, 7, 59, 413

129 : 1, 3, 43, 129

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,901,413,129, is 1.

Now, the common factors can be found like this.

731:17x 43

901:17x 53

413:7x 59

129:3x 43

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

17x 43 = 731

Therefore, the value for common factors is 731.

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 = 35089883787/(1x731)

LCM = 35089883787/731

LCM = 48002577

Thus, we can understand that the LCM of 731,901,413,129 is 48002577.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 731, 901, 413, 129

1. What is the LCM of 731, 901, 413, 129?

Answer: LCM of 731, 901, 413, 129 is 48002577.

2. How to calculate the LCM of 731, 901, 413, 129?

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 731, 901, 413, 129.

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}.