LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 459, 810, 660

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


Find the LCM of 459, 810, 660 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 459, 810, 660. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 459,810,660

Given numbers are 459,810,660

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

The LCM of 459,810,660 is 302940.

Find LCM of 459,810,660 with Prime Factorization


2 459, 810, 660
3 459, 405, 330
3 153, 135, 110
3 51, 45, 110
5 17, 15, 110
17, 3, 22

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

2 x 3 x 3 x 3 x 5 x 17 x 3 x 22 = 302940

Therefore, the lowest common multiple of 459,810,660 is 302940.

LCM Formula to Find Lowest Common Multiple of 459,810,660

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.

459 x 810 x 660 = 245381400

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.

459 : 1, 3, 9, 17, 27, 51, 153, 459

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,810,660, is 3.

Now, the common factors can be found like this.

459:3x 3x 3x 17

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

660:2x 2x 3x 5x 11

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

2x 3x 3x 3x 5 = 270

Therefore, the value for common factors is 270.

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 = 245381400/(3x270)

LCM = 245381400/810

LCM = 302940

Thus, we can understand that the LCM of 459,810,660 is 302940.

LCM of two or more Numbers Calculation Examples

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

FAQs on LCM of 459, 810, 660

1. What is the LCM of 459, 810, 660?

Answer: LCM of 459, 810, 660 is 302940.

2. How to calculate the LCM of 459, 810, 660?

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 459, 810, 660.

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}.