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LCM of 669, 804, 800, 493

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


Find the LCM of 669, 804, 800, 493 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 669, 804, 800, 493. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 669,804,800,493

Given numbers are 669,804,800,493

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

The LCM of 669,804,800,493 is 17678191200.

Find LCM of 669,804,800,493 with Prime Factorization


2 669, 804, 800, 493
2 669, 402, 400, 493
3 669, 201, 200, 493
223, 67, 200, 493

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

2 x 2 x 3 x 223 x 67 x 200 x 493 = 17678191200

Therefore, the lowest common multiple of 669,804,800,493 is 17678191200.

LCM Formula to Find Lowest Common Multiple of 669,804,800,493

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.

669 x 804 x 800 x 493 = 212138294400

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.

669 : 1, 3, 223, 669

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

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

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,804,800,493, is 1.

Now, the common factors can be found like this.

669:3x 223

804:2x 2x 3x 67

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

493:17x 29

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 3 = 12

Therefore, the value for common factors is 12.

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 = 212138294400/(1x12)

LCM = 212138294400/12

LCM = 17678191200

Thus, we can understand that the LCM of 669,804,800,493 is 17678191200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 669, 804, 800, 493

1. What is the LCM of 669, 804, 800, 493?

Answer: LCM of 669, 804, 800, 493 is 17678191200.

2. How to calculate the LCM of 669, 804, 800, 493?

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 669, 804, 800, 493.

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}.