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LCM of 209, 365, 505, 400

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


Find the LCM of 209, 365, 505, 400 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 209, 365, 505, 400. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,365,505,400

Given numbers are 209,365,505,400

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

The LCM of 209,365,505,400 is 616382800.

Find LCM of 209,365,505,400 with Prime Factorization


5 209, 365, 505, 400
209, 73, 101, 80

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

5 x 209 x 73 x 101 x 80 = 616382800

Therefore, the lowest common multiple of 209,365,505,400 is 616382800.

LCM Formula to Find Lowest Common Multiple of 209,365,505,400

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.

209 x 365 x 505 x 400 = 15409570000

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.

209 : 1, 11, 19, 209

365 : 1, 5, 73, 365

505 : 1, 5, 101, 505

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,365,505,400, is 1.

Now, the common factors can be found like this.

209:11x 19

365:5x 73

505:5x 101

400:2x 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.

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 15409570000/(1x25)

LCM = 15409570000/25

LCM = 616382800

Thus, we can understand that the LCM of 209,365,505,400 is 616382800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 365, 505, 400

1. What is the LCM of 209, 365, 505, 400?

Answer: LCM of 209, 365, 505, 400 is 616382800.

2. How to calculate the LCM of 209, 365, 505, 400?

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 209, 365, 505, 400.

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}.