LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 996, 910, 862, 869, 716

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


Find the LCM of 996, 910, 862, 869, 716 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, 910, 862, 869, 716. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 996,910,862,869,716

Given numbers are 996,910,862,869,716

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

The LCM of 996,910,862,869,716 is 30382311539580.

Find LCM of 996,910,862,869,716 with Prime Factorization


2 996, 910, 862, 869, 716
2 498, 455, 431, 869, 358
249, 455, 431, 869, 179

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

2 x 2 x 249 x 455 x 431 x 869 x 179 = 30382311539580

Therefore, the lowest common multiple of 996,910,862,869,716 is 30382311539580.

LCM Formula to Find Lowest Common Multiple of 996,910,862,869,716

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 910 x 862 x 869 x 716 = 486116984633280

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

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

862 : 1, 2, 431, 862

869 : 1, 11, 79, 869

716 : 1, 2, 4, 179, 358, 716

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,910,862,869,716, is 1.

Now, the common factors can be found like this.

996:2x 2x 3x 83

910:2x 5x 7x 13

862:2x 431

869:11x 79

716:2x 2x 179

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

2x 2x 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 486116984633280/(1x16)

LCM = 486116984633280/16

LCM = 30382311539580

Thus, we can understand that the LCM of 996,910,862,869,716 is 30382311539580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 996, 910, 862, 869, 716

1. What is the LCM of 996, 910, 862, 869, 716?

Answer: LCM of 996, 910, 862, 869, 716 is 30382311539580.

2. How to calculate the LCM of 996, 910, 862, 869, 716?

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, 910, 862, 869, 716.

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}.