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LCM of 80, 409, 805

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


Find the LCM of 80, 409, 805 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 80, 409, 805. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 80,409,805

Given numbers are 80,409,805

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

The LCM of 80,409,805 is 5267920.

Find LCM of 80,409,805 with Prime Factorization


5 80, 409, 805
16, 409, 161

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

5 x 16 x 409 x 161 = 5267920

Therefore, the lowest common multiple of 80,409,805 is 5267920.

LCM Formula to Find Lowest Common Multiple of 80,409,805

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.

80 x 409 x 805 = 26339600

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.

80 : 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

409 : 1, 409

805 : 1, 5, 7, 23, 35, 115, 161, 805

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 80,409,805, is 1.

Now, the common factors can be found like this.

80:2x 2x 2x 2x 5

409:409

805:5x 7x 23

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

5 = 5

Therefore, the value for common factors is 5.

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 = 26339600/(1x5)

LCM = 26339600/5

LCM = 5267920

Thus, we can understand that the LCM of 80,409,805 is 5267920.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 80, 409, 805

1. What is the LCM of 80, 409, 805?

Answer: LCM of 80, 409, 805 is 5267920.

2. How to calculate the LCM of 80, 409, 805?

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 80, 409, 805.

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}.