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LCM of 996, 503, 731, 697

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


Find the LCM of 996, 503, 731, 697 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, 503, 731, 697. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 996,503,731,697

Given numbers are 996,503,731,697

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

The LCM of 996,503,731,697 is 15015111348.

Find LCM of 996,503,731,697 with Prime Factorization


17 996, 503, 731, 697
996, 503, 43, 41

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

17 x 996 x 503 x 43 x 41 = 15015111348

Therefore, the lowest common multiple of 996,503,731,697 is 15015111348.

LCM Formula to Find Lowest Common Multiple of 996,503,731,697

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 503 x 731 x 697 = 255256892916

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

503 : 1, 503

731 : 1, 17, 43, 731

697 : 1, 17, 41, 697

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,503,731,697, is 1.

Now, the common factors can be found like this.

996:2x 2x 3x 83

503:503

731:17x 43

697:17x 41

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

17 = 17

Therefore, the value for common factors is 17.

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 = 255256892916/(1x17)

LCM = 255256892916/17

LCM = 15015111348

Thus, we can understand that the LCM of 996,503,731,697 is 15015111348.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 996, 503, 731, 697

1. What is the LCM of 996, 503, 731, 697?

Answer: LCM of 996, 503, 731, 697 is 15015111348.

2. How to calculate the LCM of 996, 503, 731, 697?

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, 503, 731, 697.

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}.