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 916, 880, 428, 687, 727

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


Find the LCM of 916, 880, 428, 687, 727 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 916, 880, 428, 687, 727. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 916,880,428,687,727

Given numbers are 916,880,428,687,727

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

The LCM of 916,880,428,687,727 is 47028117840.

Find LCM of 916,880,428,687,727 with Prime Factorization


2 916, 880, 428, 687, 727
2 458, 440, 214, 687, 727
229 229, 220, 107, 687, 727
1, 220, 107, 3, 727

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

2 x 2 x 229 x 1 x 220 x 107 x 3 x 727 = 47028117840

Therefore, the lowest common multiple of 916,880,428,687,727 is 47028117840.

LCM Formula to Find Lowest Common Multiple of 916,880,428,687,727

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.

916 x 880 x 428 x 687 x 727 = 172311023765760

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.

916 : 1, 2, 4, 229, 458, 916

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

428 : 1, 2, 4, 107, 214, 428

687 : 1, 3, 229, 687

727 : 1, 727

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,880,428,687,727, is 1.

Now, the common factors can be found like this.

916:2x 2x 229

880:2x 2x 2x 2x 5x 11

428:2x 2x 107

687:3x 229

727:727

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 2x 229 = 3664

Therefore, the value for common factors is 3664.

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 = 172311023765760/(1x3664)

LCM = 172311023765760/3664

LCM = 47028117840

Thus, we can understand that the LCM of 916,880,428,687,727 is 47028117840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 916, 880, 428, 687, 727

1. What is the LCM of 916, 880, 428, 687, 727?

Answer: LCM of 916, 880, 428, 687, 727 is 47028117840.

2. How to calculate the LCM of 916, 880, 428, 687, 727?

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 916, 880, 428, 687, 727.

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}.