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LCM of 884, 494, 407, 11

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


Find the LCM of 884, 494, 407, 11 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 884, 494, 407, 11. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 884,494,407,11

Given numbers are 884,494,407,11

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

The LCM of 884,494,407,11 is 6835972.

Find LCM of 884,494,407,11 with Prime Factorization


2 884, 494, 407, 11
11 442, 247, 407, 11
13 442, 247, 37, 1
34, 19, 37, 1

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

2 x 11 x 13 x 34 x 19 x 37 x 1 = 6835972

Therefore, the lowest common multiple of 884,494,407,11 is 6835972.

LCM Formula to Find Lowest Common Multiple of 884,494,407,11

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.

884 x 494 x 407 x 11 = 1955087992

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.

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

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

407 : 1, 11, 37, 407

11 : 1, 11

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,494,407,11, is 1.

Now, the common factors can be found like this.

884:2x 2x 13x 17

494:2x 13x 19

407:11x 37

11:11

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

2x 11x 13 = 286

Therefore, the value for common factors is 286.

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 = 1955087992/(1x286)

LCM = 1955087992/286

LCM = 6835972

Thus, we can understand that the LCM of 884,494,407,11 is 6835972.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 884, 494, 407, 11

1. What is the LCM of 884, 494, 407, 11?

Answer: LCM of 884, 494, 407, 11 is 6835972.

2. How to calculate the LCM of 884, 494, 407, 11?

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 884, 494, 407, 11.

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}.