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LCM of 933, 351, 781, 500

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


Find the LCM of 933, 351, 781, 500 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 933, 351, 781, 500. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 933,351,781,500

Given numbers are 933,351,781,500

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

The LCM of 933,351,781,500 is 42627370500.

Find LCM of 933,351,781,500 with Prime Factorization


3 933, 351, 781, 500
311, 117, 781, 500

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

3 x 311 x 117 x 781 x 500 = 42627370500

Therefore, the lowest common multiple of 933,351,781,500 is 42627370500.

LCM Formula to Find Lowest Common Multiple of 933,351,781,500

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.

933 x 351 x 781 x 500 = 127882111500

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.

933 : 1, 3, 311, 933

351 : 1, 3, 9, 13, 27, 39, 117, 351

781 : 1, 11, 71, 781

500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,351,781,500, is 1.

Now, the common factors can be found like this.

933:3x 311

351:3x 3x 3x 13

781:11x 71

500:2x 2x 5x 5x 5

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

3 = 3

Therefore, the value for common factors is 3.

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 = 127882111500/(1x3)

LCM = 127882111500/3

LCM = 42627370500

Thus, we can understand that the LCM of 933,351,781,500 is 42627370500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 933, 351, 781, 500

1. What is the LCM of 933, 351, 781, 500?

Answer: LCM of 933, 351, 781, 500 is 42627370500.

2. How to calculate the LCM of 933, 351, 781, 500?

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 933, 351, 781, 500.

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}.