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LCM of 343, 573, 413

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


Find the LCM of 343, 573, 413 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 343, 573, 413. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 343,573,413

Given numbers are 343,573,413

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

The LCM of 343,573,413 is 11595801.

Find LCM of 343,573,413 with Prime Factorization


7 343, 573, 413
49, 573, 59

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

7 x 49 x 573 x 59 = 11595801

Therefore, the lowest common multiple of 343,573,413 is 11595801.

LCM Formula to Find Lowest Common Multiple of 343,573,413

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.

343 x 573 x 413 = 81170607

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.

343 : 1, 7, 49, 343

573 : 1, 3, 191, 573

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,573,413, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

573:3x 191

413:7x 59

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

7 = 7

Therefore, the value for common factors is 7.

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 = 81170607/(1x7)

LCM = 81170607/7

LCM = 11595801

Thus, we can understand that the LCM of 343,573,413 is 11595801.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 343, 573, 413

1. What is the LCM of 343, 573, 413?

Answer: LCM of 343, 573, 413 is 11595801.

2. How to calculate the LCM of 343, 573, 413?

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 343, 573, 413.

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}.