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LCM of 439, 342, 846, 529, 931

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


Find the LCM of 439, 342, 846, 529, 931 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 439, 342, 846, 529, 931. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 439,342,846,529,931

Given numbers are 439,342,846,529,931

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

The LCM of 439,342,846,529,931 is 182911173606.

Find LCM of 439,342,846,529,931 with Prime Factorization


2 439, 342, 846, 529, 931
3 439, 171, 423, 529, 931
3 439, 57, 141, 529, 931
19 439, 19, 47, 529, 931
439, 1, 47, 529, 49

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

2 x 3 x 3 x 19 x 439 x 1 x 47 x 529 x 49 = 182911173606

Therefore, the lowest common multiple of 439,342,846,529,931 is 182911173606.

LCM Formula to Find Lowest Common Multiple of 439,342,846,529,931

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.

439 x 342 x 846 x 529 x 931 = 62555621373252

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.

439 : 1, 439

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

529 : 1, 23, 529

931 : 1, 7, 19, 49, 133, 931

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 439,342,846,529,931, is 1.

Now, the common factors can be found like this.

439:439

342:2x 3x 3x 19

846:2x 3x 3x 47

529:23x 23

931:7x 7x 19

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

2x 3x 3x 19 = 342

Therefore, the value for common factors is 342.

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 = 62555621373252/(1x342)

LCM = 62555621373252/342

LCM = 182911173606

Thus, we can understand that the LCM of 439,342,846,529,931 is 182911173606.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 439, 342, 846, 529, 931

1. What is the LCM of 439, 342, 846, 529, 931?

Answer: LCM of 439, 342, 846, 529, 931 is 182911173606.

2. How to calculate the LCM of 439, 342, 846, 529, 931?

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 439, 342, 846, 529, 931.

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}.