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LCM of 810, 480, 486, 661

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


Find the LCM of 810, 480, 486, 661 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 810, 480, 486, 661. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 810,480,486,661

Given numbers are 810,480,486,661

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

The LCM of 810,480,486,661 is 25699680.

Find LCM of 810,480,486,661 with Prime Factorization


2 810, 480, 486, 661
3 405, 240, 243, 661
3 135, 80, 81, 661
3 45, 80, 27, 661
3 15, 80, 9, 661
5 5, 80, 3, 661
1, 16, 3, 661

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

2 x 3 x 3 x 3 x 3 x 5 x 1 x 16 x 3 x 661 = 25699680

Therefore, the lowest common multiple of 810,480,486,661 is 25699680.

LCM Formula to Find Lowest Common Multiple of 810,480,486,661

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.

810 x 480 x 486 x 661 = 124900444800

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.

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

661 : 1, 661

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,480,486,661, is 1.

Now, the common factors can be found like this.

810:2x 3x 3x 3x 3x 5

480:2x 2x 2x 2x 2x 3x 5

486:2x 3x 3x 3x 3x 3

661:661

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 3x 3x 3x 3x 3x 5 = 4860

Therefore, the value for common factors is 4860.

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 = 124900444800/(1x4860)

LCM = 124900444800/4860

LCM = 25699680

Thus, we can understand that the LCM of 810,480,486,661 is 25699680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 810, 480, 486, 661

1. What is the LCM of 810, 480, 486, 661?

Answer: LCM of 810, 480, 486, 661 is 25699680.

2. How to calculate the LCM of 810, 480, 486, 661?

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 810, 480, 486, 661.

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}.