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LCM of 517, 319, 147

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


Find the LCM of 517, 319, 147 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, 319, 147. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 517,319,147

Given numbers are 517,319,147

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

The LCM of 517,319,147 is 2203971.

Find LCM of 517,319,147 with Prime Factorization


11 517, 319, 147
47, 29, 147

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

11 x 47 x 29 x 147 = 2203971

Therefore, the lowest common multiple of 517,319,147 is 2203971.

LCM Formula to Find Lowest Common Multiple of 517,319,147

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 319 x 147 = 24243681

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

319 : 1, 11, 29, 319

147 : 1, 3, 7, 21, 49, 147

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,319,147, is 1.

Now, the common factors can be found like this.

517:11x 47

319:11x 29

147:3x 7x 7

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

11 = 11

Therefore, the value for common factors is 11.

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 = 24243681/(1x11)

LCM = 24243681/11

LCM = 2203971

Thus, we can understand that the LCM of 517,319,147 is 2203971.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 517, 319, 147

1. What is the LCM of 517, 319, 147?

Answer: LCM of 517, 319, 147 is 2203971.

2. How to calculate the LCM of 517, 319, 147?

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, 319, 147.

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}.