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LCM of 314, 800, 361, 399

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


Find the LCM of 314, 800, 361, 399 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 314, 800, 361, 399. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 314,800,361,399

Given numbers are 314,800,361,399

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

The LCM of 314,800,361,399 is 952173600.

Find LCM of 314,800,361,399 with Prime Factorization


2 314, 800, 361, 399
19 157, 400, 361, 399
157, 400, 19, 21

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

2 x 19 x 157 x 400 x 19 x 21 = 952173600

Therefore, the lowest common multiple of 314,800,361,399 is 952173600.

LCM Formula to Find Lowest Common Multiple of 314,800,361,399

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.

314 x 800 x 361 x 399 = 36182596800

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.

314 : 1, 2, 157, 314

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

361 : 1, 19, 361

399 : 1, 3, 7, 19, 21, 57, 133, 399

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,800,361,399, is 1.

Now, the common factors can be found like this.

314:2x 157

800:2x 2x 2x 2x 2x 5x 5

361:19x 19

399:3x 7x 19

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 36182596800/(1x38)

LCM = 36182596800/38

LCM = 952173600

Thus, we can understand that the LCM of 314,800,361,399 is 952173600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 314, 800, 361, 399

1. What is the LCM of 314, 800, 361, 399?

Answer: LCM of 314, 800, 361, 399 is 952173600.

2. How to calculate the LCM of 314, 800, 361, 399?

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 314, 800, 361, 399.

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}.