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 433, 969, 768

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


Find the LCM of 433, 969, 768 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 433, 969, 768. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 433,969,768

Given numbers are 433,969,768

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

The LCM of 433,969,768 is 107411712.

Find LCM of 433,969,768 with Prime Factorization


3 433, 969, 768
433, 323, 256

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

3 x 433 x 323 x 256 = 107411712

Therefore, the lowest common multiple of 433,969,768 is 107411712.

LCM Formula to Find Lowest Common Multiple of 433,969,768

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.

433 x 969 x 768 = 322235136

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.

433 : 1, 433

969 : 1, 3, 17, 19, 51, 57, 323, 969

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,969,768, is 1.

Now, the common factors can be found like this.

433:433

969:3x 17x 19

768:2x 2x 2x 2x 2x 2x 2x 2x 3

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 = 322235136/(1x3)

LCM = 322235136/3

LCM = 107411712

Thus, we can understand that the LCM of 433,969,768 is 107411712.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 433, 969, 768

1. What is the LCM of 433, 969, 768?

Answer: LCM of 433, 969, 768 is 107411712.

2. How to calculate the LCM of 433, 969, 768?

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 433, 969, 768.

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}.