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LCM of 778, 770, 582, 990, 388

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


Find the LCM of 778, 770, 582, 990, 388 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 778, 770, 582, 990, 388. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 778,770,582,990,388

Given numbers are 778,770,582,990,388

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

The LCM of 778,770,582,990,388 is 522979380.

Find LCM of 778,770,582,990,388 with Prime Factorization


2 778, 770, 582, 990, 388
3 389, 385, 291, 495, 194
5 389, 385, 97, 165, 194
11 389, 77, 97, 33, 194
97 389, 7, 97, 3, 194
389, 7, 1, 3, 2

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

2 x 3 x 5 x 11 x 97 x 389 x 7 x 1 x 3 x 2 = 522979380

Therefore, the lowest common multiple of 778,770,582,990,388 is 522979380.

LCM Formula to Find Lowest Common Multiple of 778,770,582,990,388

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.

778 x 770 x 582 x 990 x 388 = 133924559630400

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.

778 : 1, 2, 389, 778

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

582 : 1, 2, 3, 6, 97, 194, 291, 582

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

388 : 1, 2, 4, 97, 194, 388

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,770,582,990,388, is 2.

Now, the common factors can be found like this.

778:2x 389

770:2x 5x 7x 11

582:2x 3x 97

990:2x 3x 3x 5x 11

388:2x 2x 97

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 3x 5x 11x 97 = 128040

Therefore, the value for common factors is 128040.

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 = 133924559630400/(2x128040)

LCM = 133924559630400/256080

LCM = 522979380

Thus, we can understand that the LCM of 778,770,582,990,388 is 522979380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 778, 770, 582, 990, 388

1. What is the LCM of 778, 770, 582, 990, 388?

Answer: LCM of 778, 770, 582, 990, 388 is 522979380.

2. How to calculate the LCM of 778, 770, 582, 990, 388?

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 778, 770, 582, 990, 388.

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}.