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LCM of 431, 789, 755, 333, 828

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


Find the LCM of 431, 789, 755, 333, 828 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 431, 789, 755, 333, 828. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 431,789,755,333,828

Given numbers are 431,789,755,333,828

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

The LCM of 431,789,755,333,828 is 2621875293540.

Find LCM of 431,789,755,333,828 with Prime Factorization


3 431, 789, 755, 333, 828
3 431, 263, 755, 111, 276
431, 263, 755, 37, 92

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

3 x 3 x 431 x 263 x 755 x 37 x 92 = 2621875293540

Therefore, the lowest common multiple of 431,789,755,333,828 is 2621875293540.

LCM Formula to Find Lowest Common Multiple of 431,789,755,333,828

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.

431 x 789 x 755 x 333 x 828 = 70790632925580

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.

431 : 1, 431

789 : 1, 3, 263, 789

755 : 1, 5, 151, 755

333 : 1, 3, 9, 37, 111, 333

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,789,755,333,828, is 1.

Now, the common factors can be found like this.

431:431

789:3x 263

755:5x 151

333:3x 3x 37

828:2x 2x 3x 3x 23

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 70790632925580/(1x27)

LCM = 70790632925580/27

LCM = 2621875293540

Thus, we can understand that the LCM of 431,789,755,333,828 is 2621875293540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 431, 789, 755, 333, 828

1. What is the LCM of 431, 789, 755, 333, 828?

Answer: LCM of 431, 789, 755, 333, 828 is 2621875293540.

2. How to calculate the LCM of 431, 789, 755, 333, 828?

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 431, 789, 755, 333, 828.

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}.