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LCM of 822, 727, 701, 979, 896

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


Find the LCM of 822, 727, 701, 979, 896 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 822, 727, 701, 979, 896. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 822,727,701,979,896

Given numbers are 822,727,701,979,896

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

The LCM of 822,727,701,979,896 is 183732063301248.

Find LCM of 822,727,701,979,896 with Prime Factorization


2 822, 727, 701, 979, 896
411, 727, 701, 979, 448

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

2 x 411 x 727 x 701 x 979 x 448 = 183732063301248

Therefore, the lowest common multiple of 822,727,701,979,896 is 183732063301248.

LCM Formula to Find Lowest Common Multiple of 822,727,701,979,896

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.

822 x 727 x 701 x 979 x 896 = 367464126602496

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.

822 : 1, 2, 3, 6, 137, 274, 411, 822

727 : 1, 727

701 : 1, 701

979 : 1, 11, 89, 979

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,727,701,979,896, is 1.

Now, the common factors can be found like this.

822:2x 3x 137

727:727

701:701

979:11x 89

896:2x 2x 2x 2x 2x 2x 2x 7

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 = 367464126602496/(1x2)

LCM = 367464126602496/2

LCM = 183732063301248

Thus, we can understand that the LCM of 822,727,701,979,896 is 183732063301248.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 822, 727, 701, 979, 896

1. What is the LCM of 822, 727, 701, 979, 896?

Answer: LCM of 822, 727, 701, 979, 896 is 183732063301248.

2. How to calculate the LCM of 822, 727, 701, 979, 896?

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 822, 727, 701, 979, 896.

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}.