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LCM of 363, 297, 585, 270

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


Find the LCM of 363, 297, 585, 270 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 363, 297, 585, 270. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 363,297,585,270

Given numbers are 363,297,585,270

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

The LCM of 363,297,585,270 is 424710.

Find LCM of 363,297,585,270 with Prime Factorization


3 363, 297, 585, 270
3 121, 99, 195, 90
3 121, 33, 65, 30
5 121, 11, 65, 10
11 121, 11, 13, 2
1, 11, 13, 2

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

3 x 3 x 3 x 5 x 11 x 1 x 11 x 13 x 2 = 424710

Therefore, the lowest common multiple of 363,297,585,270 is 424710.

LCM Formula to Find Lowest Common Multiple of 363,297,585,270

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.

363 x 297 x 585 x 270 = 17028747450

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.

363 : 1, 3, 11, 33, 121, 363

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

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,297,585,270, is 3.

Now, the common factors can be found like this.

363:3x 11x 11

297:3x 3x 3x 11

585:3x 3x 5x 13

270:2x 3x 3x 3x 5

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

3x 3x 3x 3x 3x 5x 11 = 13365

Therefore, the value for common factors is 13365.

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 = 17028747450/(3x13365)

LCM = 17028747450/40095

LCM = 424710

Thus, we can understand that the LCM of 363,297,585,270 is 424710.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 363, 297, 585, 270

1. What is the LCM of 363, 297, 585, 270?

Answer: LCM of 363, 297, 585, 270 is 424710.

2. How to calculate the LCM of 363, 297, 585, 270?

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 363, 297, 585, 270.

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}.