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LCM of 457, 471, 208, 614

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


Find the LCM of 457, 471, 208, 614 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 457, 471, 208, 614. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 457,471,208,614

Given numbers are 457,471,208,614

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

The LCM of 457,471,208,614 is 13744812432.

Find LCM of 457,471,208,614 with Prime Factorization


2 457, 471, 208, 614
457, 471, 104, 307

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

2 x 457 x 471 x 104 x 307 = 13744812432

Therefore, the lowest common multiple of 457,471,208,614 is 13744812432.

LCM Formula to Find Lowest Common Multiple of 457,471,208,614

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.

457 x 471 x 208 x 614 = 27489624864

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.

457 : 1, 457

471 : 1, 3, 157, 471

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,471,208,614, is 1.

Now, the common factors can be found like this.

457:457

471:3x 157

208:2x 2x 2x 2x 13

614:2x 307

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

2 = 2

Therefore, the value for common factors is 2.

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 = 27489624864/(1x2)

LCM = 27489624864/2

LCM = 13744812432

Thus, we can understand that the LCM of 457,471,208,614 is 13744812432.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 457, 471, 208, 614

1. What is the LCM of 457, 471, 208, 614?

Answer: LCM of 457, 471, 208, 614 is 13744812432.

2. How to calculate the LCM of 457, 471, 208, 614?

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 457, 471, 208, 614.

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}.