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 489, 491, 598, 299

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


Find the LCM of 489, 491, 598, 299 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 489, 491, 598, 299. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 489,491,598,299

Given numbers are 489,491,598,299

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

The LCM of 489,491,598,299 is 143579202.

Find LCM of 489,491,598,299 with Prime Factorization


13 489, 491, 598, 299
23 489, 491, 46, 23
489, 491, 2, 1

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

13 x 23 x 489 x 491 x 2 x 1 = 143579202

Therefore, the lowest common multiple of 489,491,598,299 is 143579202.

LCM Formula to Find Lowest Common Multiple of 489,491,598,299

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.

489 x 491 x 598 x 299 = 42930181398

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.

489 : 1, 3, 163, 489

491 : 1, 491

598 : 1, 2, 13, 23, 26, 46, 299, 598

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,491,598,299, is 1.

Now, the common factors can be found like this.

489:3x 163

491:491

598:2x 13x 23

299:13x 23

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

13x 23 = 299

Therefore, the value for common factors is 299.

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 = 42930181398/(1x299)

LCM = 42930181398/299

LCM = 143579202

Thus, we can understand that the LCM of 489,491,598,299 is 143579202.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 489, 491, 598, 299

1. What is the LCM of 489, 491, 598, 299?

Answer: LCM of 489, 491, 598, 299 is 143579202.

2. How to calculate the LCM of 489, 491, 598, 299?

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 489, 491, 598, 299.

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}.