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LCM of 884, 194, 689, 449

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


Find the LCM of 884, 194, 689, 449 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, 194, 689, 449. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 884,194,689,449

Given numbers are 884,194,689,449

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

The LCM of 884,194,689,449 is 2040545156.

Find LCM of 884,194,689,449 with Prime Factorization


2 884, 194, 689, 449
13 442, 97, 689, 449
34, 97, 53, 449

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

2 x 13 x 34 x 97 x 53 x 449 = 2040545156

Therefore, the lowest common multiple of 884,194,689,449 is 2040545156.

LCM Formula to Find Lowest Common Multiple of 884,194,689,449

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 194 x 689 x 449 = 53054174056

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

194 : 1, 2, 97, 194

689 : 1, 13, 53, 689

449 : 1, 449

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,194,689,449, is 1.

Now, the common factors can be found like this.

884:2x 2x 13x 17

194:2x 97

689:13x 53

449:449

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 53054174056/(1x26)

LCM = 53054174056/26

LCM = 2040545156

Thus, we can understand that the LCM of 884,194,689,449 is 2040545156.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 884, 194, 689, 449

1. What is the LCM of 884, 194, 689, 449?

Answer: LCM of 884, 194, 689, 449 is 2040545156.

2. How to calculate the LCM of 884, 194, 689, 449?

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, 194, 689, 449.

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}.