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LCM of 327, 209, 319, 400

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


Find the LCM of 327, 209, 319, 400 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 327, 209, 319, 400. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 327,209,319,400

Given numbers are 327,209,319,400

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

The LCM of 327,209,319,400 is 792778800.

Find LCM of 327,209,319,400 with Prime Factorization


11 327, 209, 319, 400
327, 19, 29, 400

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

11 x 327 x 19 x 29 x 400 = 792778800

Therefore, the lowest common multiple of 327,209,319,400 is 792778800.

LCM Formula to Find Lowest Common Multiple of 327,209,319,400

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.

327 x 209 x 319 x 400 = 8720566800

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.

327 : 1, 3, 109, 327

209 : 1, 11, 19, 209

319 : 1, 11, 29, 319

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,209,319,400, is 1.

Now, the common factors can be found like this.

327:3x 109

209:11x 19

319:11x 29

400:2x 2x 2x 2x 5x 5

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

11 = 11

Therefore, the value for common factors is 11.

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 = 8720566800/(1x11)

LCM = 8720566800/11

LCM = 792778800

Thus, we can understand that the LCM of 327,209,319,400 is 792778800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 327, 209, 319, 400

1. What is the LCM of 327, 209, 319, 400?

Answer: LCM of 327, 209, 319, 400 is 792778800.

2. How to calculate the LCM of 327, 209, 319, 400?

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 327, 209, 319, 400.

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}.