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 814, 663, 315, 478, 344

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


Find the LCM of 814, 663, 315, 478, 344 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 814, 663, 315, 478, 344. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 814,663,315,478,344

Given numbers are 814,663,315,478,344

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

The LCM of 814,663,315,478,344 is 2329451003880.

Find LCM of 814,663,315,478,344 with Prime Factorization


2 814, 663, 315, 478, 344
3 407, 663, 315, 239, 172
407, 221, 105, 239, 172

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

2 x 3 x 407 x 221 x 105 x 239 x 172 = 2329451003880

Therefore, the lowest common multiple of 814,663,315,478,344 is 2329451003880.

LCM Formula to Find Lowest Common Multiple of 814,663,315,478,344

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.

814 x 663 x 315 x 478 x 344 = 27953412046560

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.

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

663 : 1, 3, 13, 17, 39, 51, 221, 663

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

478 : 1, 2, 239, 478

344 : 1, 2, 4, 8, 43, 86, 172, 344

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,663,315,478,344, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

663:3x 13x 17

315:3x 3x 5x 7

478:2x 239

344:2x 2x 2x 43

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 3 = 12

Therefore, the value for common factors is 12.

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 = 27953412046560/(1x12)

LCM = 27953412046560/12

LCM = 2329451003880

Thus, we can understand that the LCM of 814,663,315,478,344 is 2329451003880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 814, 663, 315, 478, 344

1. What is the LCM of 814, 663, 315, 478, 344?

Answer: LCM of 814, 663, 315, 478, 344 is 2329451003880.

2. How to calculate the LCM of 814, 663, 315, 478, 344?

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 814, 663, 315, 478, 344.

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}.