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LCM of 204, 986, 485, 891, 425

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


Find the LCM of 204, 986, 485, 891, 425 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 204, 986, 485, 891, 425. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 204,986,485,891,425

Given numbers are 204,986,485,891,425

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

The LCM of 204,986,485,891,425 is 4260851100.

Find LCM of 204,986,485,891,425 with Prime Factorization


2 204, 986, 485, 891, 425
3 102, 493, 485, 891, 425
5 34, 493, 485, 297, 425
17 34, 493, 97, 297, 85
2, 29, 97, 297, 5

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

2 x 3 x 5 x 17 x 2 x 29 x 97 x 297 x 5 = 4260851100

Therefore, the lowest common multiple of 204,986,485,891,425 is 4260851100.

LCM Formula to Find Lowest Common Multiple of 204,986,485,891,425

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.

204 x 986 x 485 x 891 x 425 = 36941579037000

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.

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

986 : 1, 2, 17, 29, 34, 58, 493, 986

485 : 1, 5, 97, 485

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

425 : 1, 5, 17, 25, 85, 425

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,986,485,891,425, is 1.

Now, the common factors can be found like this.

204:2x 2x 3x 17

986:2x 17x 29

485:5x 97

891:3x 3x 3x 3x 11

425:5x 5x 17

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

2x 3x 5x 17x 17 = 8670

Therefore, the value for common factors is 8670.

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 = 36941579037000/(1x8670)

LCM = 36941579037000/8670

LCM = 4260851100

Thus, we can understand that the LCM of 204,986,485,891,425 is 4260851100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 204, 986, 485, 891, 425

1. What is the LCM of 204, 986, 485, 891, 425?

Answer: LCM of 204, 986, 485, 891, 425 is 4260851100.

2. How to calculate the LCM of 204, 986, 485, 891, 425?

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 204, 986, 485, 891, 425.

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}.