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LCM of 666, 413, 209, 209

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


Find the LCM of 666, 413, 209, 209 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 666, 413, 209, 209. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 666,413,209,209

Given numbers are 666,413,209,209

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

The LCM of 666,413,209,209 is 57487122.

Find LCM of 666,413,209,209 with Prime Factorization


11 666, 413, 209, 209
19 666, 413, 19, 19
666, 413, 1, 1

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

11 x 19 x 666 x 413 x 1 x 1 = 57487122

Therefore, the lowest common multiple of 666,413,209,209 is 57487122.

LCM Formula to Find Lowest Common Multiple of 666,413,209,209

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.

666 x 413 x 209 x 209 = 12014808498

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.

666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

413 : 1, 7, 59, 413

209 : 1, 11, 19, 209

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 666,413,209,209, is 1.

Now, the common factors can be found like this.

666:2x 3x 3x 37

413:7x 59

209:11x 19

209:11x 19

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

11x 19 = 209

Therefore, the value for common factors is 209.

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 = 12014808498/(1x209)

LCM = 12014808498/209

LCM = 57487122

Thus, we can understand that the LCM of 666,413,209,209 is 57487122.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 666, 413, 209, 209

1. What is the LCM of 666, 413, 209, 209?

Answer: LCM of 666, 413, 209, 209 is 57487122.

2. How to calculate the LCM of 666, 413, 209, 209?

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 666, 413, 209, 209.

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}.