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LCM of 517, 341, 217

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


Find the LCM of 517, 341, 217 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 517, 341, 217. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 517,341,217

Given numbers are 517,341,217

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

The LCM of 517,341,217 is 112189.

Find LCM of 517,341,217 with Prime Factorization


11 517, 341, 217
31 47, 31, 217
47, 1, 7

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

11 x 31 x 47 x 1 x 7 = 112189

Therefore, the lowest common multiple of 517,341,217 is 112189.

LCM Formula to Find Lowest Common Multiple of 517,341,217

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.

517 x 341 x 217 = 38256449

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.

517 : 1, 11, 47, 517

341 : 1, 11, 31, 341

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,341,217, is 1.

Now, the common factors can be found like this.

517:11x 47

341:11x 31

217:7x 31

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

11x 31 = 341

Therefore, the value for common factors is 341.

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 = 38256449/(1x341)

LCM = 38256449/341

LCM = 112189

Thus, we can understand that the LCM of 517,341,217 is 112189.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 517, 341, 217

1. What is the LCM of 517, 341, 217?

Answer: LCM of 517, 341, 217 is 112189.

2. How to calculate the LCM of 517, 341, 217?

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 517, 341, 217.

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}.