LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 209, 574, 417, 726, 414

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


Find the LCM of 209, 574, 417, 726, 414 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, 574, 417, 726, 414. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,574,417,726,414

Given numbers are 209,574,417,726,414

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

The LCM of 209,574,417,726,414 is 37969598898.

Find LCM of 209,574,417,726,414 with Prime Factorization


2 209, 574, 417, 726, 414
3 209, 287, 417, 363, 207
11 209, 287, 139, 121, 69
19, 287, 139, 11, 69

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

2 x 3 x 11 x 19 x 287 x 139 x 11 x 69 = 37969598898

Therefore, the lowest common multiple of 209,574,417,726,414 is 37969598898.

LCM Formula to Find Lowest Common Multiple of 209,574,417,726,414

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 574 x 417 x 726 x 414 = 15035961163608

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

574 : 1, 2, 7, 14, 41, 82, 287, 574

417 : 1, 3, 139, 417

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,574,417,726,414, is 1.

Now, the common factors can be found like this.

209:11x 19

574:2x 7x 41

417:3x 139

726:2x 3x 11x 11

414:2x 3x 3x 23

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 3x 3x 11 = 396

Therefore, the value for common factors is 396.

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 = 15035961163608/(1x396)

LCM = 15035961163608/396

LCM = 37969598898

Thus, we can understand that the LCM of 209,574,417,726,414 is 37969598898.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 574, 417, 726, 414

1. What is the LCM of 209, 574, 417, 726, 414?

Answer: LCM of 209, 574, 417, 726, 414 is 37969598898.

2. How to calculate the LCM of 209, 574, 417, 726, 414?

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, 574, 417, 726, 414.

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}.