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 844, 530, 143, 460, 495

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


Find the LCM of 844, 530, 143, 460, 495 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 844, 530, 143, 460, 495. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 844,530,143,460,495

Given numbers are 844,530,143,460,495

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

The LCM of 844,530,143,460,495 is 6620559660.

Find LCM of 844,530,143,460,495 with Prime Factorization


2 844, 530, 143, 460, 495
2 422, 265, 143, 230, 495
5 211, 265, 143, 115, 495
11 211, 53, 143, 23, 99
211, 53, 13, 23, 9

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

2 x 2 x 5 x 11 x 211 x 53 x 13 x 23 x 9 = 6620559660

Therefore, the lowest common multiple of 844,530,143,460,495 is 6620559660.

LCM Formula to Find Lowest Common Multiple of 844,530,143,460,495

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.

844 x 530 x 143 x 460 x 495 = 14565231252000

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.

844 : 1, 2, 4, 211, 422, 844

530 : 1, 2, 5, 10, 53, 106, 265, 530

143 : 1, 11, 13, 143

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,530,143,460,495, is 1.

Now, the common factors can be found like this.

844:2x 2x 211

530:2x 5x 53

143:11x 13

460:2x 2x 5x 23

495:3x 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 2x 2x 5x 5x 11 = 2200

Therefore, the value for common factors is 2200.

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 = 14565231252000/(1x2200)

LCM = 14565231252000/2200

LCM = 6620559660

Thus, we can understand that the LCM of 844,530,143,460,495 is 6620559660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 844, 530, 143, 460, 495

1. What is the LCM of 844, 530, 143, 460, 495?

Answer: LCM of 844, 530, 143, 460, 495 is 6620559660.

2. How to calculate the LCM of 844, 530, 143, 460, 495?

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 844, 530, 143, 460, 495.

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}.