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LCM of 478, 910, 283, 338, 620

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


Find the LCM of 478, 910, 283, 338, 620 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 478, 910, 283, 338, 620. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 478,910,283,338,620

Given numbers are 478,910,283,338,620

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

The LCM of 478,910,283,338,620 is 49609034020.

Find LCM of 478,910,283,338,620 with Prime Factorization


2 478, 910, 283, 338, 620
5 239, 455, 283, 169, 310
13 239, 91, 283, 169, 62
239, 7, 283, 13, 62

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

2 x 5 x 13 x 239 x 7 x 283 x 13 x 62 = 49609034020

Therefore, the lowest common multiple of 478,910,283,338,620 is 49609034020.

LCM Formula to Find Lowest Common Multiple of 478,910,283,338,620

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.

478 x 910 x 283 x 338 x 620 = 25796697690400

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.

478 : 1, 2, 239, 478

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

283 : 1, 283

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

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,910,283,338,620, is 1.

Now, the common factors can be found like this.

478:2x 239

910:2x 5x 7x 13

283:283

338:2x 13x 13

620:2x 2x 5x 31

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 2x 5x 13 = 520

Therefore, the value for common factors is 520.

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 = 25796697690400/(1x520)

LCM = 25796697690400/520

LCM = 49609034020

Thus, we can understand that the LCM of 478,910,283,338,620 is 49609034020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 478, 910, 283, 338, 620

1. What is the LCM of 478, 910, 283, 338, 620?

Answer: LCM of 478, 910, 283, 338, 620 is 49609034020.

2. How to calculate the LCM of 478, 910, 283, 338, 620?

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 478, 910, 283, 338, 620.

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}.