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LCM of 413, 354, 341, 116

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


Find the LCM of 413, 354, 341, 116 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, 354, 341, 116. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 413,354,341,116

Given numbers are 413,354,341,116

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

The LCM of 413,354,341,116 is 49009884.

Find LCM of 413,354,341,116 with Prime Factorization


2 413, 354, 341, 116
59 413, 177, 341, 58
7, 3, 341, 58

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

2 x 59 x 7 x 3 x 341 x 58 = 49009884

Therefore, the lowest common multiple of 413,354,341,116 is 49009884.

LCM Formula to Find Lowest Common Multiple of 413,354,341,116

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 354 x 341 x 116 = 5783166312

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

354 : 1, 2, 3, 6, 59, 118, 177, 354

341 : 1, 11, 31, 341

116 : 1, 2, 4, 29, 58, 116

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,354,341,116, is 1.

Now, the common factors can be found like this.

413:7x 59

354:2x 3x 59

341:11x 31

116:2x 2x 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 59 = 118

Therefore, the value for common factors is 118.

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 = 5783166312/(1x118)

LCM = 5783166312/118

LCM = 49009884

Thus, we can understand that the LCM of 413,354,341,116 is 49009884.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 413, 354, 341, 116

1. What is the LCM of 413, 354, 341, 116?

Answer: LCM of 413, 354, 341, 116 is 49009884.

2. How to calculate the LCM of 413, 354, 341, 116?

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, 354, 341, 116.

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}.