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 300, 190, 150, 814

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


Find the LCM of 300, 190, 150, 814 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 300, 190, 150, 814. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 300,190,150,814

Given numbers are 300,190,150,814

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

The LCM of 300,190,150,814 is 2319900.

Find LCM of 300,190,150,814 with Prime Factorization


2 300, 190, 150, 814
3 150, 95, 75, 407
5 50, 95, 25, 407
5 10, 19, 5, 407
2, 19, 1, 407

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

2 x 3 x 5 x 5 x 2 x 19 x 1 x 407 = 2319900

Therefore, the lowest common multiple of 300,190,150,814 is 2319900.

LCM Formula to Find Lowest Common Multiple of 300,190,150,814

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.

300 x 190 x 150 x 814 = 6959700000

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.

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

190 : 1, 2, 5, 10, 19, 38, 95, 190

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

814 : 1, 2, 11, 22, 37, 74, 407, 814

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,190,150,814, is 2.

Now, the common factors can be found like this.

300:2x 2x 3x 5x 5

190:2x 5x 19

150:2x 3x 5x 5

814:2x 11x 37

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 3x 5x 5x 5 = 1500

Therefore, the value for common factors is 1500.

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 = 6959700000/(2x1500)

LCM = 6959700000/3000

LCM = 2319900

Thus, we can understand that the LCM of 300,190,150,814 is 2319900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 300, 190, 150, 814

1. What is the LCM of 300, 190, 150, 814?

Answer: LCM of 300, 190, 150, 814 is 2319900.

2. How to calculate the LCM of 300, 190, 150, 814?

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 300, 190, 150, 814.

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}.