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LCM of 712, 979, 731, 333

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


Find the LCM of 712, 979, 731, 333 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 712, 979, 731, 333. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 712,979,731,333

Given numbers are 712,979,731,333

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

The LCM of 712,979,731,333 is 1906488936.

Find LCM of 712,979,731,333 with Prime Factorization


89 712, 979, 731, 333
8, 11, 731, 333

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

89 x 8 x 11 x 731 x 333 = 1906488936

Therefore, the lowest common multiple of 712,979,731,333 is 1906488936.

LCM Formula to Find Lowest Common Multiple of 712,979,731,333

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.

712 x 979 x 731 x 333 = 169677515304

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.

712 : 1, 2, 4, 8, 89, 178, 356, 712

979 : 1, 11, 89, 979

731 : 1, 17, 43, 731

333 : 1, 3, 9, 37, 111, 333

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 712,979,731,333, is 1.

Now, the common factors can be found like this.

712:2x 2x 2x 89

979:11x 89

731:17x 43

333:3x 3x 37

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

89 = 89

Therefore, the value for common factors is 89.

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 = 169677515304/(1x89)

LCM = 169677515304/89

LCM = 1906488936

Thus, we can understand that the LCM of 712,979,731,333 is 1906488936.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 712, 979, 731, 333

1. What is the LCM of 712, 979, 731, 333?

Answer: LCM of 712, 979, 731, 333 is 1906488936.

2. How to calculate the LCM of 712, 979, 731, 333?

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 712, 979, 731, 333.

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}.