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 967, 928, 928, 873

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


Find the LCM of 967, 928, 928, 873 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 967, 928, 928, 873. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 967,928,928,873

Given numbers are 967,928,928,873

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

The LCM of 967,928,928,873 is 783409248.

Find LCM of 967,928,928,873 with Prime Factorization


2 967, 928, 928, 873
2 967, 464, 464, 873
2 967, 232, 232, 873
2 967, 116, 116, 873
2 967, 58, 58, 873
29 967, 29, 29, 873
967, 1, 1, 873

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

2 x 2 x 2 x 2 x 2 x 29 x 967 x 1 x 1 x 873 = 783409248

Therefore, the lowest common multiple of 967,928,928,873 is 783409248.

LCM Formula to Find Lowest Common Multiple of 967,928,928,873

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.

967 x 928 x 928 x 873 = 727003782144

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.

967 : 1, 967

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

873 : 1, 3, 9, 97, 291, 873

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,928,928,873, is 1.

Now, the common factors can be found like this.

967:967

928:2x 2x 2x 2x 2x 29

928:2x 2x 2x 2x 2x 29

873:3x 3x 97

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 2x 29 = 928

Therefore, the value for common factors is 928.

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 = 727003782144/(1x928)

LCM = 727003782144/928

LCM = 783409248

Thus, we can understand that the LCM of 967,928,928,873 is 783409248.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 967, 928, 928, 873

1. What is the LCM of 967, 928, 928, 873?

Answer: LCM of 967, 928, 928, 873 is 783409248.

2. How to calculate the LCM of 967, 928, 928, 873?

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 967, 928, 928, 873.

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}.