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LCM of 391, 781, 448, 539

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


Find the LCM of 391, 781, 448, 539 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 391, 781, 448, 539. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 391,781,448,539

Given numbers are 391,781,448,539

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

The LCM of 391,781,448,539 is 957643456.

Find LCM of 391,781,448,539 with Prime Factorization


7 391, 781, 448, 539
11 391, 781, 64, 77
391, 71, 64, 7

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

7 x 11 x 391 x 71 x 64 x 7 = 957643456

Therefore, the lowest common multiple of 391,781,448,539 is 957643456.

LCM Formula to Find Lowest Common Multiple of 391,781,448,539

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.

391 x 781 x 448 x 539 = 73738546112

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.

391 : 1, 17, 23, 391

781 : 1, 11, 71, 781

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

539 : 1, 7, 11, 49, 77, 539

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,781,448,539, is 1.

Now, the common factors can be found like this.

391:17x 23

781:11x 71

448:2x 2x 2x 2x 2x 2x 7

539:7x 7x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

7x 11 = 77

Therefore, the value for common factors is 77.

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 = 73738546112/(1x77)

LCM = 73738546112/77

LCM = 957643456

Thus, we can understand that the LCM of 391,781,448,539 is 957643456.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 391, 781, 448, 539

1. What is the LCM of 391, 781, 448, 539?

Answer: LCM of 391, 781, 448, 539 is 957643456.

2. How to calculate the LCM of 391, 781, 448, 539?

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 391, 781, 448, 539.

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}.