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LCM of 323, 247, 304, 827

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


Find the LCM of 323, 247, 304, 827 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 323, 247, 304, 827. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 323,247,304,827

Given numbers are 323,247,304,827

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

The LCM of 323,247,304,827 is 55561168.

Find LCM of 323,247,304,827 with Prime Factorization


19 323, 247, 304, 827
17, 13, 16, 827

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

19 x 17 x 13 x 16 x 827 = 55561168

Therefore, the lowest common multiple of 323,247,304,827 is 55561168.

LCM Formula to Find Lowest Common Multiple of 323,247,304,827

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.

323 x 247 x 304 x 827 = 20057581648

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.

323 : 1, 17, 19, 323

247 : 1, 13, 19, 247

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

827 : 1, 827

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,247,304,827, is 1.

Now, the common factors can be found like this.

323:17x 19

247:13x 19

304:2x 2x 2x 2x 19

827:827

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

19x 19 = 361

Therefore, the value for common factors is 361.

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 = 20057581648/(1x361)

LCM = 20057581648/361

LCM = 55561168

Thus, we can understand that the LCM of 323,247,304,827 is 55561168.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 323, 247, 304, 827

1. What is the LCM of 323, 247, 304, 827?

Answer: LCM of 323, 247, 304, 827 is 55561168.

2. How to calculate the LCM of 323, 247, 304, 827?

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 323, 247, 304, 827.

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}.