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LCM of 400, 450, 106, 331

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


Find the LCM of 400, 450, 106, 331 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 400, 450, 106, 331. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 400,450,106,331

Given numbers are 400,450,106,331

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

The LCM of 400,450,106,331 is 63154800.

Find LCM of 400,450,106,331 with Prime Factorization


2 400, 450, 106, 331
5 200, 225, 53, 331
5 40, 45, 53, 331
8, 9, 53, 331

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

2 x 5 x 5 x 8 x 9 x 53 x 331 = 63154800

Therefore, the lowest common multiple of 400,450,106,331 is 63154800.

LCM Formula to Find Lowest Common Multiple of 400,450,106,331

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.

400 x 450 x 106 x 331 = 6315480000

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.

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

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

106 : 1, 2, 53, 106

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,450,106,331, is 1.

Now, the common factors can be found like this.

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

450:2x 3x 3x 5x 5

106:2x 53

331:331

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 6315480000/(1x100)

LCM = 6315480000/100

LCM = 63154800

Thus, we can understand that the LCM of 400,450,106,331 is 63154800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 400, 450, 106, 331

1. What is the LCM of 400, 450, 106, 331?

Answer: LCM of 400, 450, 106, 331 is 63154800.

2. How to calculate the LCM of 400, 450, 106, 331?

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 400, 450, 106, 331.

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}.