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LCM of 393, 311, 975, 800, 465

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


Find the LCM of 393, 311, 975, 800, 465 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 393, 311, 975, 800, 465. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 393,311,975,800,465

Given numbers are 393,311,975,800,465

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

The LCM of 393,311,975,800,465 is 39404695200.

Find LCM of 393,311,975,800,465 with Prime Factorization


3 393, 311, 975, 800, 465
5 131, 311, 325, 800, 155
5 131, 311, 65, 160, 31
131, 311, 13, 32, 31

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

3 x 5 x 5 x 131 x 311 x 13 x 32 x 31 = 39404695200

Therefore, the lowest common multiple of 393,311,975,800,465 is 39404695200.

LCM Formula to Find Lowest Common Multiple of 393,311,975,800,465

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.

393 x 311 x 975 x 800 x 465 = 44330282100000

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.

393 : 1, 3, 131, 393

311 : 1, 311

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

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

465 : 1, 3, 5, 15, 31, 93, 155, 465

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,311,975,800,465, is 1.

Now, the common factors can be found like this.

393:3x 131

311:311

975:3x 5x 5x 13

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

465:3x 5x 31

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 5x 5x 5 = 1125

Therefore, the value for common factors is 1125.

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 = 44330282100000/(1x1125)

LCM = 44330282100000/1125

LCM = 39404695200

Thus, we can understand that the LCM of 393,311,975,800,465 is 39404695200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 393, 311, 975, 800, 465

1. What is the LCM of 393, 311, 975, 800, 465?

Answer: LCM of 393, 311, 975, 800, 465 is 39404695200.

2. How to calculate the LCM of 393, 311, 975, 800, 465?

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 393, 311, 975, 800, 465.

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}.