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LCM of 200, 459, 405, 565

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


Find the LCM of 200, 459, 405, 565 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 200, 459, 405, 565. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 200,459,405,565

Given numbers are 200,459,405,565

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

The LCM of 200,459,405,565 is 31120200.

Find LCM of 200,459,405,565 with Prime Factorization


3 200, 459, 405, 565
3 200, 153, 135, 565
3 200, 51, 45, 565
5 200, 17, 15, 565
40, 17, 3, 113

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

3 x 3 x 3 x 5 x 40 x 17 x 3 x 113 = 31120200

Therefore, the lowest common multiple of 200,459,405,565 is 31120200.

LCM Formula to Find Lowest Common Multiple of 200,459,405,565

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.

200 x 459 x 405 x 565 = 21006135000

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.

200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

459 : 1, 3, 9, 17, 27, 51, 153, 459

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

565 : 1, 5, 113, 565

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 200,459,405,565, is 1.

Now, the common factors can be found like this.

200:2x 2x 2x 5x 5

459:3x 3x 3x 17

405:3x 3x 3x 3x 5

565:5x 113

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 3x 5x 5 = 675

Therefore, the value for common factors is 675.

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 = 21006135000/(1x675)

LCM = 21006135000/675

LCM = 31120200

Thus, we can understand that the LCM of 200,459,405,565 is 31120200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 200, 459, 405, 565

1. What is the LCM of 200, 459, 405, 565?

Answer: LCM of 200, 459, 405, 565 is 31120200.

2. How to calculate the LCM of 200, 459, 405, 565?

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 200, 459, 405, 565.

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}.