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LCM of 562, 317, 906, 634, 470

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


Find the LCM of 562, 317, 906, 634, 470 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 562, 317, 906, 634, 470. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 562,317,906,634,470

Given numbers are 562,317,906,634,470

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

The LCM of 562,317,906,634,470 is 18965384070.

Find LCM of 562,317,906,634,470 with Prime Factorization


2 562, 317, 906, 634, 470
317 281, 317, 453, 317, 235
281, 1, 453, 1, 235

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

2 x 317 x 281 x 1 x 453 x 1 x 235 = 18965384070

Therefore, the lowest common multiple of 562,317,906,634,470 is 18965384070.

LCM Formula to Find Lowest Common Multiple of 562,317,906,634,470

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.

562 x 317 x 906 x 634 x 470 = 48096214001520

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.

562 : 1, 2, 281, 562

317 : 1, 317

906 : 1, 2, 3, 6, 151, 302, 453, 906

634 : 1, 2, 317, 634

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 562,317,906,634,470, is 1.

Now, the common factors can be found like this.

562:2x 281

317:317

906:2x 3x 151

634:2x 317

470:2x 5x 47

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

2x 2x 2x 317 = 2536

Therefore, the value for common factors is 2536.

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 = 48096214001520/(1x2536)

LCM = 48096214001520/2536

LCM = 18965384070

Thus, we can understand that the LCM of 562,317,906,634,470 is 18965384070.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 562, 317, 906, 634, 470

1. What is the LCM of 562, 317, 906, 634, 470?

Answer: LCM of 562, 317, 906, 634, 470 is 18965384070.

2. How to calculate the LCM of 562, 317, 906, 634, 470?

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 562, 317, 906, 634, 470.

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}.