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LCM of 996, 327, 857, 731

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


Find the LCM of 996, 327, 857, 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 996, 327, 857, 731. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 996,327,857,731

Given numbers are 996,327,857,731

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

The LCM of 996,327,857,731 is 68011763388.

Find LCM of 996,327,857,731 with Prime Factorization


3 996, 327, 857, 731
332, 109, 857, 731

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

3 x 332 x 109 x 857 x 731 = 68011763388

Therefore, the lowest common multiple of 996,327,857,731 is 68011763388.

LCM Formula to Find Lowest Common Multiple of 996,327,857,731

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.

996 x 327 x 857 x 731 = 204035290164

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.

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

327 : 1, 3, 109, 327

857 : 1, 857

731 : 1, 17, 43, 731

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,327,857,731, is 1.

Now, the common factors can be found like this.

996:2x 2x 3x 83

327:3x 109

857:857

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.

3 = 3

Therefore, the value for common factors is 3.

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 = 204035290164/(1x3)

LCM = 204035290164/3

LCM = 68011763388

Thus, we can understand that the LCM of 996,327,857,731 is 68011763388.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 996, 327, 857, 731

1. What is the LCM of 996, 327, 857, 731?

Answer: LCM of 996, 327, 857, 731 is 68011763388.

2. How to calculate the LCM of 996, 327, 857, 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 996, 327, 857, 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}.