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LCM of 401, 331, 323, 456, 209

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


Find the LCM of 401, 331, 323, 456, 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 401, 331, 323, 456, 209. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 401,331,323,456,209

Given numbers are 401,331,323,456,209

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

The LCM of 401,331,323,456,209 is 11318237832.

Find LCM of 401,331,323,456,209 with Prime Factorization


19 401, 331, 323, 456, 209
401, 331, 17, 24, 11

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

19 x 401 x 331 x 17 x 24 x 11 = 11318237832

Therefore, the lowest common multiple of 401,331,323,456,209 is 11318237832.

LCM Formula to Find Lowest Common Multiple of 401,331,323,456,209

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.

401 x 331 x 323 x 456 x 209 = 4085883857352

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.

401 : 1, 401

331 : 1, 331

323 : 1, 17, 19, 323

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,331,323,456,209, is 1.

Now, the common factors can be found like this.

401:401

331:331

323:17x 19

456:2x 2x 2x 3x 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.

19x 19 = 361

Therefore, the value for common factors is 361.

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 = 4085883857352/(1x361)

LCM = 4085883857352/361

LCM = 11318237832

Thus, we can understand that the LCM of 401,331,323,456,209 is 11318237832.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 401, 331, 323, 456, 209

1. What is the LCM of 401, 331, 323, 456, 209?

Answer: LCM of 401, 331, 323, 456, 209 is 11318237832.

2. How to calculate the LCM of 401, 331, 323, 456, 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 401, 331, 323, 456, 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}.