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LCM of 450, 676, 807

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


Find the LCM of 450, 676, 807 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 450, 676, 807. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 450,676,807

Given numbers are 450,676,807

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

The LCM of 450,676,807 is 40914900.

Find LCM of 450,676,807 with Prime Factorization


2 450, 676, 807
3 225, 338, 807
75, 338, 269

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

2 x 3 x 75 x 338 x 269 = 40914900

Therefore, the lowest common multiple of 450,676,807 is 40914900.

LCM Formula to Find Lowest Common Multiple of 450,676,807

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.

450 x 676 x 807 = 245489400

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.

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

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

807 : 1, 3, 269, 807

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,676,807, is 1.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

676:2x 2x 13x 13

807:3x 269

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 245489400/(1x6)

LCM = 245489400/6

LCM = 40914900

Thus, we can understand that the LCM of 450,676,807 is 40914900.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 450, 676, 807

1. What is the LCM of 450, 676, 807?

Answer: LCM of 450, 676, 807 is 40914900.

2. How to calculate the LCM of 450, 676, 807?

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 450, 676, 807.

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}.