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LCM of 675, 412, 522, 884, 482

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


Find the LCM of 675, 412, 522, 884, 482 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 675, 412, 522, 884, 482. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 675,412,522,884,482

Given numbers are 675,412,522,884,482

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

The LCM of 675,412,522,884,482 is 429544638900.

Find LCM of 675,412,522,884,482 with Prime Factorization


2 675, 412, 522, 884, 482
2 675, 206, 261, 442, 241
3 675, 103, 261, 221, 241
3 225, 103, 87, 221, 241
75, 103, 29, 221, 241

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

2 x 2 x 3 x 3 x 75 x 103 x 29 x 221 x 241 = 429544638900

Therefore, the lowest common multiple of 675,412,522,884,482 is 429544638900.

LCM Formula to Find Lowest Common Multiple of 675,412,522,884,482

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.

675 x 412 x 522 x 884 x 482 = 61854428001600

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.

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

412 : 1, 2, 4, 103, 206, 412

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

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

482 : 1, 2, 241, 482

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 675,412,522,884,482, is 1.

Now, the common factors can be found like this.

675:3x 3x 3x 5x 5

412:2x 2x 103

522:2x 3x 3x 29

884:2x 2x 13x 17

482:2x 241

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

2x 2x 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 61854428001600/(1x144)

LCM = 61854428001600/144

LCM = 429544638900

Thus, we can understand that the LCM of 675,412,522,884,482 is 429544638900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 675, 412, 522, 884, 482

1. What is the LCM of 675, 412, 522, 884, 482?

Answer: LCM of 675, 412, 522, 884, 482 is 429544638900.

2. How to calculate the LCM of 675, 412, 522, 884, 482?

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 675, 412, 522, 884, 482.

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}.