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 457, 372, 769, 500

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


Find the LCM of 457, 372, 769, 500 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 457, 372, 769, 500. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 457,372,769,500

Given numbers are 457,372,769,500

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

The LCM of 457,372,769,500 is 16341634500.

Find LCM of 457,372,769,500 with Prime Factorization


2 457, 372, 769, 500
2 457, 186, 769, 250
457, 93, 769, 125

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

2 x 2 x 457 x 93 x 769 x 125 = 16341634500

Therefore, the lowest common multiple of 457,372,769,500 is 16341634500.

LCM Formula to Find Lowest Common Multiple of 457,372,769,500

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.

457 x 372 x 769 x 500 = 65366538000

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.

457 : 1, 457

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

769 : 1, 769

500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,372,769,500, is 1.

Now, the common factors can be found like this.

457:457

372:2x 2x 3x 31

769:769

500:2x 2x 5x 5x 5

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 65366538000/(1x4)

LCM = 65366538000/4

LCM = 16341634500

Thus, we can understand that the LCM of 457,372,769,500 is 16341634500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 457, 372, 769, 500

1. What is the LCM of 457, 372, 769, 500?

Answer: LCM of 457, 372, 769, 500 is 16341634500.

2. How to calculate the LCM of 457, 372, 769, 500?

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 457, 372, 769, 500.

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}.