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LCM of 209, 209, 526, 612, 434

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


Find the LCM of 209, 209, 526, 612, 434 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, 209, 526, 612, 434. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,209,526,612,434

Given numbers are 209,209,526,612,434

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

The LCM of 209,209,526,612,434 is 7299837468.

Find LCM of 209,209,526,612,434 with Prime Factorization


2 209, 209, 526, 612, 434
11 209, 209, 263, 306, 217
19 19, 19, 263, 306, 217
1, 1, 263, 306, 217

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

2 x 11 x 19 x 1 x 1 x 263 x 306 x 217 = 7299837468

Therefore, the lowest common multiple of 209,209,526,612,434 is 7299837468.

LCM Formula to Find Lowest Common Multiple of 209,209,526,612,434

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 209 x 526 x 612 x 434 = 6102664123248

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

209 : 1, 11, 19, 209

526 : 1, 2, 263, 526

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

434 : 1, 2, 7, 14, 31, 62, 217, 434

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,209,526,612,434, is 1.

Now, the common factors can be found like this.

209:11x 19

209:11x 19

526:2x 263

612:2x 2x 3x 3x 17

434:2x 7x 31

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 11x 19 = 836

Therefore, the value for common factors is 836.

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 = 6102664123248/(1x836)

LCM = 6102664123248/836

LCM = 7299837468

Thus, we can understand that the LCM of 209,209,526,612,434 is 7299837468.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 209, 526, 612, 434

1. What is the LCM of 209, 209, 526, 612, 434?

Answer: LCM of 209, 209, 526, 612, 434 is 7299837468.

2. How to calculate the LCM of 209, 209, 526, 612, 434?

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, 209, 526, 612, 434.

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}.