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LCM of 482, 468, 494, 778

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


Find the LCM of 482, 468, 494, 778 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 482, 468, 494, 778. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 482,468,494,778

Given numbers are 482,468,494,778

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

The LCM of 482,468,494,778 is 833616108.

Find LCM of 482,468,494,778 with Prime Factorization


2 482, 468, 494, 778
13 241, 234, 247, 389
241, 18, 19, 389

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

2 x 13 x 241 x 18 x 19 x 389 = 833616108

Therefore, the lowest common multiple of 482,468,494,778 is 833616108.

LCM Formula to Find Lowest Common Multiple of 482,468,494,778

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.

482 x 468 x 494 x 778 = 86696075232

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.

482 : 1, 2, 241, 482

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

494 : 1, 2, 13, 19, 26, 38, 247, 494

778 : 1, 2, 389, 778

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 482,468,494,778, is 2.

Now, the common factors can be found like this.

482:2x 241

468:2x 2x 3x 3x 13

494:2x 13x 19

778:2x 389

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 13 = 52

Therefore, the value for common factors is 52.

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 = 86696075232/(2x52)

LCM = 86696075232/104

LCM = 833616108

Thus, we can understand that the LCM of 482,468,494,778 is 833616108.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 482, 468, 494, 778

1. What is the LCM of 482, 468, 494, 778?

Answer: LCM of 482, 468, 494, 778 is 833616108.

2. How to calculate the LCM of 482, 468, 494, 778?

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 482, 468, 494, 778.

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}.