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LCM of 503, 968, 500, 447, 200

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


Find the LCM of 503, 968, 500, 447, 200 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 503, 968, 500, 447, 200. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 503,968,500,447,200

Given numbers are 503,968,500,447,200

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

The LCM of 503,968,500,447,200 is 27205761000.

Find LCM of 503,968,500,447,200 with Prime Factorization


2 503, 968, 500, 447, 200
2 503, 484, 250, 447, 100
2 503, 242, 125, 447, 50
5 503, 121, 125, 447, 25
5 503, 121, 5, 447, 25
503, 121, 1, 447, 5

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

2 x 2 x 2 x 5 x 5 x 503 x 121 x 1 x 447 x 5 = 27205761000

Therefore, the lowest common multiple of 503,968,500,447,200 is 27205761000.

LCM Formula to Find Lowest Common Multiple of 503,968,500,447,200

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.

503 x 968 x 500 x 447 x 200 = 21764608800000

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.

503 : 1, 503

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

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

447 : 1, 3, 149, 447

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 503,968,500,447,200, is 1.

Now, the common factors can be found like this.

503:503

968:2x 2x 2x 11x 11

500:2x 2x 5x 5x 5

447:3x 149

200:2x 2x 2x 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.

2x 2x 2x 2x 2x 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 21764608800000/(1x800)

LCM = 21764608800000/800

LCM = 27205761000

Thus, we can understand that the LCM of 503,968,500,447,200 is 27205761000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 503, 968, 500, 447, 200

1. What is the LCM of 503, 968, 500, 447, 200?

Answer: LCM of 503, 968, 500, 447, 200 is 27205761000.

2. How to calculate the LCM of 503, 968, 500, 447, 200?

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 503, 968, 500, 447, 200.

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}.