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 391, 209, 621, 209, 241

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


Find the LCM of 391, 209, 621, 209, 241 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 391, 209, 621, 209, 241. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 391,209,621,209,241

Given numbers are 391,209,621,209,241

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

The LCM of 391,209,621,209,241 is 531745533.

Find LCM of 391,209,621,209,241 with Prime Factorization


11 391, 209, 621, 209, 241
19 391, 19, 621, 19, 241
23 391, 1, 621, 1, 241
17, 1, 27, 1, 241

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

11 x 19 x 23 x 17 x 1 x 27 x 1 x 241 = 531745533

Therefore, the lowest common multiple of 391,209,621,209,241 is 531745533.

LCM Formula to Find Lowest Common Multiple of 391,209,621,209,241

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.

391 x 209 x 621 x 209 x 241 = 2556100777131

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.

391 : 1, 17, 23, 391

209 : 1, 11, 19, 209

621 : 1, 3, 9, 23, 27, 69, 207, 621

209 : 1, 11, 19, 209

241 : 1, 241

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,209,621,209,241, is 1.

Now, the common factors can be found like this.

391:17x 23

209:11x 19

621:3x 3x 3x 23

209:11x 19

241:241

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

11x 19x 23 = 4807

Therefore, the value for common factors is 4807.

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 = 2556100777131/(1x4807)

LCM = 2556100777131/4807

LCM = 531745533

Thus, we can understand that the LCM of 391,209,621,209,241 is 531745533.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 391, 209, 621, 209, 241

1. What is the LCM of 391, 209, 621, 209, 241?

Answer: LCM of 391, 209, 621, 209, 241 is 531745533.

2. How to calculate the LCM of 391, 209, 621, 209, 241?

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 391, 209, 621, 209, 241.

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}.