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LCM of 330, 780, 594, 831

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


Find the LCM of 330, 780, 594, 831 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 330, 780, 594, 831. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 330,780,594,831

Given numbers are 330,780,594,831

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

The LCM of 330,780,594,831 is 21389940.

Find LCM of 330,780,594,831 with Prime Factorization


2 330, 780, 594, 831
3 165, 390, 297, 831
5 55, 130, 99, 277
11 11, 26, 99, 277
1, 26, 9, 277

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

2 x 3 x 5 x 11 x 1 x 26 x 9 x 277 = 21389940

Therefore, the lowest common multiple of 330,780,594,831 is 21389940.

LCM Formula to Find Lowest Common Multiple of 330,780,594,831

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.

330 x 780 x 594 x 831 = 127056243600

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.

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

831 : 1, 3, 277, 831

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,780,594,831, is 3.

Now, the common factors can be found like this.

330:2x 3x 5x 11

780:2x 2x 3x 5x 13

594:2x 3x 3x 3x 11

831:3x 277

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

2x 2x 3x 3x 5x 11 = 1980

Therefore, the value for common factors is 1980.

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 = 127056243600/(3x1980)

LCM = 127056243600/5940

LCM = 21389940

Thus, we can understand that the LCM of 330,780,594,831 is 21389940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 330, 780, 594, 831

1. What is the LCM of 330, 780, 594, 831?

Answer: LCM of 330, 780, 594, 831 is 21389940.

2. How to calculate the LCM of 330, 780, 594, 831?

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 330, 780, 594, 831.

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}.