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LCM of 327, 382, 854, 797

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


Find the LCM of 327, 382, 854, 797 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 327, 382, 854, 797. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 327,382,854,797

Given numbers are 327,382,854,797

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

The LCM of 327,382,854,797 is 42510607566.

Find LCM of 327,382,854,797 with Prime Factorization


2 327, 382, 854, 797
327, 191, 427, 797

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

2 x 327 x 191 x 427 x 797 = 42510607566

Therefore, the lowest common multiple of 327,382,854,797 is 42510607566.

LCM Formula to Find Lowest Common Multiple of 327,382,854,797

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.

327 x 382 x 854 x 797 = 85021215132

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.

327 : 1, 3, 109, 327

382 : 1, 2, 191, 382

854 : 1, 2, 7, 14, 61, 122, 427, 854

797 : 1, 797

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,382,854,797, is 1.

Now, the common factors can be found like this.

327:3x 109

382:2x 191

854:2x 7x 61

797:797

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

2 = 2

Therefore, the value for common factors is 2.

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 = 85021215132/(1x2)

LCM = 85021215132/2

LCM = 42510607566

Thus, we can understand that the LCM of 327,382,854,797 is 42510607566.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 327, 382, 854, 797

1. What is the LCM of 327, 382, 854, 797?

Answer: LCM of 327, 382, 854, 797 is 42510607566.

2. How to calculate the LCM of 327, 382, 854, 797?

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 327, 382, 854, 797.

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}.