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LCM of 558, 378, 772, 780

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


Find the LCM of 558, 378, 772, 780 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 558, 378, 772, 780. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 558,378,772,780

Given numbers are 558,378,772,780

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

The LCM of 558,378,772,780 is 294004620.

Find LCM of 558,378,772,780 with Prime Factorization


2 558, 378, 772, 780
2 279, 189, 386, 390
3 279, 189, 193, 195
3 93, 63, 193, 65
31, 21, 193, 65

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

2 x 2 x 3 x 3 x 31 x 21 x 193 x 65 = 294004620

Therefore, the lowest common multiple of 558,378,772,780 is 294004620.

LCM Formula to Find Lowest Common Multiple of 558,378,772,780

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.

558 x 378 x 772 x 780 = 127009995840

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.

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

772 : 1, 2, 4, 193, 386, 772

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,378,772,780, is 2.

Now, the common factors can be found like this.

558:2x 3x 3x 31

378:2x 3x 3x 3x 7

772:2x 2x 193

780:2x 2x 3x 5x 13

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 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 127009995840/(2x216)

LCM = 127009995840/432

LCM = 294004620

Thus, we can understand that the LCM of 558,378,772,780 is 294004620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 558, 378, 772, 780

1. What is the LCM of 558, 378, 772, 780?

Answer: LCM of 558, 378, 772, 780 is 294004620.

2. How to calculate the LCM of 558, 378, 772, 780?

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 558, 378, 772, 780.

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}.