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LCM of 339, 418, 253, 421, 857

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


Find the LCM of 339, 418, 253, 421, 857 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 339, 418, 253, 421, 857. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 339,418,253,421,857

Given numbers are 339,418,253,421,857

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

The LCM of 339,418,253,421,857 is 1175890099362.

Find LCM of 339,418,253,421,857 with Prime Factorization


11 339, 418, 253, 421, 857
339, 38, 23, 421, 857

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

11 x 339 x 38 x 23 x 421 x 857 = 1175890099362

Therefore, the lowest common multiple of 339,418,253,421,857 is 1175890099362.

LCM Formula to Find Lowest Common Multiple of 339,418,253,421,857

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.

339 x 418 x 253 x 421 x 857 = 12934791092982

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.

339 : 1, 3, 113, 339

418 : 1, 2, 11, 19, 22, 38, 209, 418

253 : 1, 11, 23, 253

421 : 1, 421

857 : 1, 857

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,418,253,421,857, is 1.

Now, the common factors can be found like this.

339:3x 113

418:2x 11x 19

253:11x 23

421:421

857:857

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

11 = 11

Therefore, the value for common factors is 11.

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 = 12934791092982/(1x11)

LCM = 12934791092982/11

LCM = 1175890099362

Thus, we can understand that the LCM of 339,418,253,421,857 is 1175890099362.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 339, 418, 253, 421, 857

1. What is the LCM of 339, 418, 253, 421, 857?

Answer: LCM of 339, 418, 253, 421, 857 is 1175890099362.

2. How to calculate the LCM of 339, 418, 253, 421, 857?

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 339, 418, 253, 421, 857.

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}.