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LCM of 475, 408, 235, 559, 862

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


Find the LCM of 475, 408, 235, 559, 862 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 475, 408, 235, 559, 862. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 475,408,235,559,862

Given numbers are 475,408,235,559,862

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

The LCM of 475,408,235,559,862 is 2194525889400.

Find LCM of 475,408,235,559,862 with Prime Factorization


2 475, 408, 235, 559, 862
5 475, 204, 235, 559, 431
95, 204, 47, 559, 431

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

2 x 5 x 95 x 204 x 47 x 559 x 431 = 2194525889400

Therefore, the lowest common multiple of 475,408,235,559,862 is 2194525889400.

LCM Formula to Find Lowest Common Multiple of 475,408,235,559,862

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.

475 x 408 x 235 x 559 x 862 = 21945258894000

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.

475 : 1, 5, 19, 25, 95, 475

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

235 : 1, 5, 47, 235

559 : 1, 13, 43, 559

862 : 1, 2, 431, 862

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 475,408,235,559,862, is 1.

Now, the common factors can be found like this.

475:5x 5x 19

408:2x 2x 2x 3x 17

235:5x 47

559:13x 43

862:2x 431

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 21945258894000/(1x10)

LCM = 21945258894000/10

LCM = 2194525889400

Thus, we can understand that the LCM of 475,408,235,559,862 is 2194525889400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 475, 408, 235, 559, 862

1. What is the LCM of 475, 408, 235, 559, 862?

Answer: LCM of 475, 408, 235, 559, 862 is 2194525889400.

2. How to calculate the LCM of 475, 408, 235, 559, 862?

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 475, 408, 235, 559, 862.

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}.