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 522, 422, 513, 285

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


Find the LCM of 522, 422, 513, 285 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 522, 422, 513, 285. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 522,422,513,285

Given numbers are 522,422,513,285

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

The LCM of 522,422,513,285 is 31390470.

Find LCM of 522,422,513,285 with Prime Factorization


2 522, 422, 513, 285
3 261, 211, 513, 285
3 87, 211, 171, 95
19 29, 211, 57, 95
29, 211, 3, 5

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

2 x 3 x 3 x 19 x 29 x 211 x 3 x 5 = 31390470

Therefore, the lowest common multiple of 522,422,513,285 is 31390470.

LCM Formula to Find Lowest Common Multiple of 522,422,513,285

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.

522 x 422 x 513 x 285 = 32206622220

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.

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

422 : 1, 2, 211, 422

513 : 1, 3, 9, 19, 27, 57, 171, 513

285 : 1, 3, 5, 15, 19, 57, 95, 285

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,422,513,285, is 1.

Now, the common factors can be found like this.

522:2x 3x 3x 29

422:2x 211

513:3x 3x 3x 19

285:3x 5x 19

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 19 = 1026

Therefore, the value for common factors is 1026.

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 = 32206622220/(1x1026)

LCM = 32206622220/1026

LCM = 31390470

Thus, we can understand that the LCM of 522,422,513,285 is 31390470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 522, 422, 513, 285

1. What is the LCM of 522, 422, 513, 285?

Answer: LCM of 522, 422, 513, 285 is 31390470.

2. How to calculate the LCM of 522, 422, 513, 285?

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 522, 422, 513, 285.

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}.