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LCM of 781, 498, 494, 853

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


Find the LCM of 781, 498, 494, 853 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 781, 498, 494, 853. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 781,498,494,853

Given numbers are 781,498,494,853

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

The LCM of 781,498,494,853 is 81945736158.

Find LCM of 781,498,494,853 with Prime Factorization


2 781, 498, 494, 853
781, 249, 247, 853

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

2 x 781 x 249 x 247 x 853 = 81945736158

Therefore, the lowest common multiple of 781,498,494,853 is 81945736158.

LCM Formula to Find Lowest Common Multiple of 781,498,494,853

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.

781 x 498 x 494 x 853 = 163891472316

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.

781 : 1, 11, 71, 781

498 : 1, 2, 3, 6, 83, 166, 249, 498

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

853 : 1, 853

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,498,494,853, is 1.

Now, the common factors can be found like this.

781:11x 71

498:2x 3x 83

494:2x 13x 19

853:853

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

2 = 2

Therefore, the value for common factors is 2.

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 = 163891472316/(1x2)

LCM = 163891472316/2

LCM = 81945736158

Thus, we can understand that the LCM of 781,498,494,853 is 81945736158.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 781, 498, 494, 853

1. What is the LCM of 781, 498, 494, 853?

Answer: LCM of 781, 498, 494, 853 is 81945736158.

2. How to calculate the LCM of 781, 498, 494, 853?

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 781, 498, 494, 853.

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}.