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LCM of 223, 600, 200, 564

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


Find the LCM of 223, 600, 200, 564 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 223, 600, 200, 564. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 223,600,200,564

Given numbers are 223,600,200,564

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

The LCM of 223,600,200,564 is 6288600.

Find LCM of 223,600,200,564 with Prime Factorization


2 223, 600, 200, 564
2 223, 300, 100, 282
2 223, 150, 50, 141
3 223, 75, 25, 141
5 223, 25, 25, 47
5 223, 5, 5, 47
223, 1, 1, 47

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

2 x 2 x 2 x 3 x 5 x 5 x 223 x 1 x 1 x 47 = 6288600

Therefore, the lowest common multiple of 223,600,200,564 is 6288600.

LCM Formula to Find Lowest Common Multiple of 223,600,200,564

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.

223 x 600 x 200 x 564 = 15092640000

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.

223 : 1, 223

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,600,200,564, is 1.

Now, the common factors can be found like this.

223:223

600:2x 2x 2x 3x 5x 5

200:2x 2x 2x 5x 5

564:2x 2x 3x 47

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 3x 5x 5 = 2400

Therefore, the value for common factors is 2400.

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 = 15092640000/(1x2400)

LCM = 15092640000/2400

LCM = 6288600

Thus, we can understand that the LCM of 223,600,200,564 is 6288600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 223, 600, 200, 564

1. What is the LCM of 223, 600, 200, 564?

Answer: LCM of 223, 600, 200, 564 is 6288600.

2. How to calculate the LCM of 223, 600, 200, 564?

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 223, 600, 200, 564.

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}.