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LCM of 731, 195, 507, 261, 731

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


Find the LCM of 731, 195, 507, 261, 731 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, 195, 507, 261, 731. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 731,195,507,261,731

Given numbers are 731,195,507,261,731

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

The LCM of 731,195,507,261,731 is 161218395.

Find LCM of 731,195,507,261,731 with Prime Factorization


3 731, 195, 507, 261, 731
13 731, 65, 169, 87, 731
17 731, 5, 13, 87, 731
43 43, 5, 13, 87, 43
1, 5, 13, 87, 1

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

3 x 13 x 17 x 43 x 1 x 5 x 13 x 87 x 1 = 161218395

Therefore, the lowest common multiple of 731,195,507,261,731 is 161218395.

LCM Formula to Find Lowest Common Multiple of 731,195,507,261,731

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 195 x 507 x 261 x 731 = 13788525669165

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

195 : 1, 3, 5, 13, 15, 39, 65, 195

507 : 1, 3, 13, 39, 169, 507

261 : 1, 3, 9, 29, 87, 261

731 : 1, 17, 43, 731

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,195,507,261,731, is 1.

Now, the common factors can be found like this.

731:17x 43

195:3x 5x 13

507:3x 13x 13

261:3x 3x 29

731:17x 43

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

3x 3x 13x 17x 43 = 85527

Therefore, the value for common factors is 85527.

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 = 13788525669165/(1x85527)

LCM = 13788525669165/85527

LCM = 161218395

Thus, we can understand that the LCM of 731,195,507,261,731 is 161218395.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 731, 195, 507, 261, 731

1. What is the LCM of 731, 195, 507, 261, 731?

Answer: LCM of 731, 195, 507, 261, 731 is 161218395.

2. How to calculate the LCM of 731, 195, 507, 261, 731?

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, 195, 507, 261, 731.

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}.