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LCM of 780, 391, 548, 388

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


Find the LCM of 780, 391, 548, 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 780, 391, 548, 388. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 780,391,548,388

Given numbers are 780,391,548,388

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

The LCM of 780,391,548,388 is 4052879220.

Find LCM of 780,391,548,388 with Prime Factorization


2 780, 391, 548, 388
2 390, 391, 274, 194
195, 391, 137, 97

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

2 x 2 x 195 x 391 x 137 x 97 = 4052879220

Therefore, the lowest common multiple of 780,391,548,388 is 4052879220.

LCM Formula to Find Lowest Common Multiple of 780,391,548,388

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.

780 x 391 x 548 x 388 = 64846067520

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.

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

391 : 1, 17, 23, 391

548 : 1, 2, 4, 137, 274, 548

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,391,548,388, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

391:17x 23

548:2x 2x 137

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 2 = 16

Therefore, the value for common factors is 16.

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 = 64846067520/(1x16)

LCM = 64846067520/16

LCM = 4052879220

Thus, we can understand that the LCM of 780,391,548,388 is 4052879220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 780, 391, 548, 388

1. What is the LCM of 780, 391, 548, 388?

Answer: LCM of 780, 391, 548, 388 is 4052879220.

2. How to calculate the LCM of 780, 391, 548, 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 780, 391, 548, 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}.