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LCM of 729, 634, 317, 329

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


Find the LCM of 729, 634, 317, 329 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 729, 634, 317, 329. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 729,634,317,329

Given numbers are 729,634,317,329

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

The LCM of 729,634,317,329 is 152059194.

Find LCM of 729,634,317,329 with Prime Factorization


317 729, 634, 317, 329
729, 2, 1, 329

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

317 x 729 x 2 x 1 x 329 = 152059194

Therefore, the lowest common multiple of 729,634,317,329 is 152059194.

LCM Formula to Find Lowest Common Multiple of 729,634,317,329

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.

729 x 634 x 317 x 329 = 48202764498

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.

729 : 1, 3, 9, 27, 81, 243, 729

634 : 1, 2, 317, 634

317 : 1, 317

329 : 1, 7, 47, 329

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,634,317,329, is 1.

Now, the common factors can be found like this.

729:3x 3x 3x 3x 3x 3

634:2x 317

317:317

329:7x 47

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

317 = 317

Therefore, the value for common factors is 317.

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 = 48202764498/(1x317)

LCM = 48202764498/317

LCM = 152059194

Thus, we can understand that the LCM of 729,634,317,329 is 152059194.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 729, 634, 317, 329

1. What is the LCM of 729, 634, 317, 329?

Answer: LCM of 729, 634, 317, 329 is 152059194.

2. How to calculate the LCM of 729, 634, 317, 329?

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 729, 634, 317, 329.

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}.