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LCM of 540, 285, 591, 584

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


Find the LCM of 540, 285, 591, 584 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 540, 285, 591, 584. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 540,285,591,584

Given numbers are 540,285,591,584

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

The LCM of 540,285,591,584 is 295098120.

Find LCM of 540,285,591,584 with Prime Factorization


2 540, 285, 591, 584
2 270, 285, 591, 292
3 135, 285, 591, 146
5 45, 95, 197, 146
9, 19, 197, 146

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

2 x 2 x 3 x 5 x 9 x 19 x 197 x 146 = 295098120

Therefore, the lowest common multiple of 540,285,591,584 is 295098120.

LCM Formula to Find Lowest Common Multiple of 540,285,591,584

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.

540 x 285 x 591 x 584 = 53117661600

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

285 : 1, 3, 5, 15, 19, 57, 95, 285

591 : 1, 3, 197, 591

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,285,591,584, is 1.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

285:3x 5x 19

591:3x 197

584:2x 2x 2x 73

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 5 = 180

Therefore, the value for common factors is 180.

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 = 53117661600/(1x180)

LCM = 53117661600/180

LCM = 295098120

Thus, we can understand that the LCM of 540,285,591,584 is 295098120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 540, 285, 591, 584

1. What is the LCM of 540, 285, 591, 584?

Answer: LCM of 540, 285, 591, 584 is 295098120.

2. How to calculate the LCM of 540, 285, 591, 584?

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 540, 285, 591, 584.

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}.