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LCM of 406, 413, 498, 841

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


Find the LCM of 406, 413, 498, 841 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 406, 413, 498, 841. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 406,413,498,841

Given numbers are 406,413,498,841

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

The LCM of 406,413,498,841 is 172971834.

Find LCM of 406,413,498,841 with Prime Factorization


2 406, 413, 498, 841
7 203, 413, 249, 841
29 29, 59, 249, 841
1, 59, 249, 29

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

2 x 7 x 29 x 1 x 59 x 249 x 29 = 172971834

Therefore, the lowest common multiple of 406,413,498,841 is 172971834.

LCM Formula to Find Lowest Common Multiple of 406,413,498,841

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.

406 x 413 x 498 x 841 = 70226564604

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.

406 : 1, 2, 7, 14, 29, 58, 203, 406

413 : 1, 7, 59, 413

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

841 : 1, 29, 841

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,413,498,841, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

413:7x 59

498:2x 3x 83

841:29x 29

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

2x 7x 29 = 406

Therefore, the value for common factors is 406.

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 = 70226564604/(1x406)

LCM = 70226564604/406

LCM = 172971834

Thus, we can understand that the LCM of 406,413,498,841 is 172971834.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 406, 413, 498, 841

1. What is the LCM of 406, 413, 498, 841?

Answer: LCM of 406, 413, 498, 841 is 172971834.

2. How to calculate the LCM of 406, 413, 498, 841?

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 406, 413, 498, 841.

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}.