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LCM of 827, 920, 646

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


Find the LCM of 827, 920, 646 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 827, 920, 646. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 827,920,646

Given numbers are 827,920,646

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

The LCM of 827,920,646 is 245751320.

Find LCM of 827,920,646 with Prime Factorization


2 827, 920, 646
827, 460, 323

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

2 x 827 x 460 x 323 = 245751320

Therefore, the lowest common multiple of 827,920,646 is 245751320.

LCM Formula to Find Lowest Common Multiple of 827,920,646

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.

827 x 920 x 646 = 491502640

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.

827 : 1, 827

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,920,646, is 1.

Now, the common factors can be found like this.

827:827

920:2x 2x 2x 5x 23

646:2x 17x 19

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 = 491502640/(1x2)

LCM = 491502640/2

LCM = 245751320

Thus, we can understand that the LCM of 827,920,646 is 245751320.

LCM of two or more Numbers Calculation Examples

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

FAQs on LCM of 827, 920, 646

1. What is the LCM of 827, 920, 646?

Answer: LCM of 827, 920, 646 is 245751320.

2. How to calculate the LCM of 827, 920, 646?

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 827, 920, 646.

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}.