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LCM of 776, 608, 836

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


Find the LCM of 776, 608, 836 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 776, 608, 836. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 776,608,836

Given numbers are 776,608,836

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

The LCM of 776,608,836 is 648736.

Find LCM of 776,608,836 with Prime Factorization


2 776, 608, 836
2 388, 304, 418
2 194, 152, 209
19 97, 76, 209
97, 4, 11

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

2 x 2 x 2 x 19 x 97 x 4 x 11 = 648736

Therefore, the lowest common multiple of 776,608,836 is 648736.

LCM Formula to Find Lowest Common Multiple of 776,608,836

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.

776 x 608 x 836 = 394431488

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.

776 : 1, 2, 4, 8, 97, 194, 388, 776

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 776,608,836, is 4.

Now, the common factors can be found like this.

776:2x 2x 2x 97

608:2x 2x 2x 2x 2x 19

836:2x 2x 11x 19

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 19 = 152

Therefore, the value for common factors is 152.

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 = 394431488/(4x152)

LCM = 394431488/608

LCM = 648736

Thus, we can understand that the LCM of 776,608,836 is 648736.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 776, 608, 836

1. What is the LCM of 776, 608, 836?

Answer: LCM of 776, 608, 836 is 648736.

2. How to calculate the LCM of 776, 608, 836?

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 776, 608, 836.

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}.