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LCM of 243, 204, 741, 251, 828

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


Find the LCM of 243, 204, 741, 251, 828 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 243, 204, 741, 251, 828. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 243,204,741,251,828

Given numbers are 243,204,741,251,828

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

The LCM of 243,204,741,251,828 is 23562083844.

Find LCM of 243,204,741,251,828 with Prime Factorization


2 243, 204, 741, 251, 828
2 243, 102, 741, 251, 414
3 243, 51, 741, 251, 207
3 81, 17, 247, 251, 69
27, 17, 247, 251, 23

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

2 x 2 x 3 x 3 x 27 x 17 x 247 x 251 x 23 = 23562083844

Therefore, the lowest common multiple of 243,204,741,251,828 is 23562083844.

LCM Formula to Find Lowest Common Multiple of 243,204,741,251,828

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.

243 x 204 x 741 x 251 x 828 = 7634115165456

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.

243 : 1, 3, 9, 27, 81, 243

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

741 : 1, 3, 13, 19, 39, 57, 247, 741

251 : 1, 251

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,204,741,251,828, is 1.

Now, the common factors can be found like this.

243:3x 3x 3x 3x 3

204:2x 2x 3x 17

741:3x 13x 19

251:251

828:2x 2x 3x 3x 23

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 3x 3x 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 7634115165456/(1x324)

LCM = 7634115165456/324

LCM = 23562083844

Thus, we can understand that the LCM of 243,204,741,251,828 is 23562083844.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 243, 204, 741, 251, 828

1. What is the LCM of 243, 204, 741, 251, 828?

Answer: LCM of 243, 204, 741, 251, 828 is 23562083844.

2. How to calculate the LCM of 243, 204, 741, 251, 828?

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 243, 204, 741, 251, 828.

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}.