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LCM of 209, 172, 473, 563

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


Find the LCM of 209, 172, 473, 563 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, 172, 473, 563. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,172,473,563

Given numbers are 209,172,473,563

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

The LCM of 209,172,473,563 is 20238724.

Find LCM of 209,172,473,563 with Prime Factorization


11 209, 172, 473, 563
43 19, 172, 43, 563
19, 4, 1, 563

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

11 x 43 x 19 x 4 x 1 x 563 = 20238724

Therefore, the lowest common multiple of 209,172,473,563 is 20238724.

LCM Formula to Find Lowest Common Multiple of 209,172,473,563

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 172 x 473 x 563 = 9572916452

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

172 : 1, 2, 4, 43, 86, 172

473 : 1, 11, 43, 473

563 : 1, 563

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,172,473,563, is 1.

Now, the common factors can be found like this.

209:11x 19

172:2x 2x 43

473:11x 43

563:563

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11x 43 = 473

Therefore, the value for common factors is 473.

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 = 9572916452/(1x473)

LCM = 9572916452/473

LCM = 20238724

Thus, we can understand that the LCM of 209,172,473,563 is 20238724.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 172, 473, 563

1. What is the LCM of 209, 172, 473, 563?

Answer: LCM of 209, 172, 473, 563 is 20238724.

2. How to calculate the LCM of 209, 172, 473, 563?

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, 172, 473, 563.

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}.