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 338, 384, 505, 843

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


Find the LCM of 338, 384, 505, 843 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 338, 384, 505, 843. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 338,384,505,843

Given numbers are 338,384,505,843

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

The LCM of 338,384,505,843 is 9209066880.

Find LCM of 338,384,505,843 with Prime Factorization


2 338, 384, 505, 843
3 169, 192, 505, 843
169, 64, 505, 281

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

2 x 3 x 169 x 64 x 505 x 281 = 9209066880

Therefore, the lowest common multiple of 338,384,505,843 is 9209066880.

LCM Formula to Find Lowest Common Multiple of 338,384,505,843

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.

338 x 384 x 505 x 843 = 55254401280

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.

338 : 1, 2, 13, 26, 169, 338

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

505 : 1, 5, 101, 505

843 : 1, 3, 281, 843

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,384,505,843, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

384:2x 2x 2x 2x 2x 2x 2x 3

505:5x 101

843:3x 281

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 55254401280/(1x6)

LCM = 55254401280/6

LCM = 9209066880

Thus, we can understand that the LCM of 338,384,505,843 is 9209066880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 338, 384, 505, 843

1. What is the LCM of 338, 384, 505, 843?

Answer: LCM of 338, 384, 505, 843 is 9209066880.

2. How to calculate the LCM of 338, 384, 505, 843?

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 338, 384, 505, 843.

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}.