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LCM of 413, 182, 498, 547

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


Find the LCM of 413, 182, 498, 547 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 413, 182, 498, 547. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 413,182,498,547

Given numbers are 413,182,498,547

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

The LCM of 413,182,498,547 is 1462547814.

Find LCM of 413,182,498,547 with Prime Factorization


2 413, 182, 498, 547
7 413, 91, 249, 547
59, 13, 249, 547

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

2 x 7 x 59 x 13 x 249 x 547 = 1462547814

Therefore, the lowest common multiple of 413,182,498,547 is 1462547814.

LCM Formula to Find Lowest Common Multiple of 413,182,498,547

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.

413 x 182 x 498 x 547 = 20475669396

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.

413 : 1, 7, 59, 413

182 : 1, 2, 7, 13, 14, 26, 91, 182

498 : 1, 2, 3, 6, 83, 166, 249, 498

547 : 1, 547

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,182,498,547, is 1.

Now, the common factors can be found like this.

413:7x 59

182:2x 7x 13

498:2x 3x 83

547:547

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 20475669396/(1x14)

LCM = 20475669396/14

LCM = 1462547814

Thus, we can understand that the LCM of 413,182,498,547 is 1462547814.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 413, 182, 498, 547

1. What is the LCM of 413, 182, 498, 547?

Answer: LCM of 413, 182, 498, 547 is 1462547814.

2. How to calculate the LCM of 413, 182, 498, 547?

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 413, 182, 498, 547.

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}.