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 448, 393, 263, 814

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


Find the LCM of 448, 393, 263, 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 448, 393, 263, 814. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 448,393,263,814

Given numbers are 448,393,263,814

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

The LCM of 448,393,263,814 is 18846066624.

Find LCM of 448,393,263,814 with Prime Factorization


2 448, 393, 263, 814
224, 393, 263, 407

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

2 x 224 x 393 x 263 x 407 = 18846066624

Therefore, the lowest common multiple of 448,393,263,814 is 18846066624.

LCM Formula to Find Lowest Common Multiple of 448,393,263,814

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.

448 x 393 x 263 x 814 = 37692133248

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.

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

393 : 1, 3, 131, 393

263 : 1, 263

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,393,263,814, is 1.

Now, the common factors can be found like this.

448:2x 2x 2x 2x 2x 2x 7

393:3x 131

263:263

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 37692133248/(1x2)

LCM = 37692133248/2

LCM = 18846066624

Thus, we can understand that the LCM of 448,393,263,814 is 18846066624.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 448, 393, 263, 814

1. What is the LCM of 448, 393, 263, 814?

Answer: LCM of 448, 393, 263, 814 is 18846066624.

2. How to calculate the LCM of 448, 393, 263, 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 448, 393, 263, 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}.